Enlargements have real life functions, such as changing the size of photographic prints or pictures in documents. How to rotate shapes with and without tracing paper? It is mandatory to procure user consent prior to running these cookies on your website. Enter the height and/or width of the image you need to scale. These are called ray lines. Describe fully the single transformation that maps shape A onto shape B. This will help you to understand the size of shapes. However, with a little practice and perseverance, anyone can learn to love math! in exactly the same way. Three transformations from GCSE mathematics and the direction of rotation. On the grid, enlarge the shape with scale factor 3, centre O. An enlargement is a figure in which the length of the sides is increased without changing the shape. Check us out! Multiply the distances by the scale factor \frac{1}{2}. Translation, Reflection, Rotation and Enlargement. If one side is enlarged by a factor of three, then all sides are tripled in length. Click Calculate to receive the final dimensions or percentage. Enlargement is an example of a transformation. Every translation has a translation vector which Scale \ factor = \frac{enlarged \ length}{ original \ length}=\frac{2}{1}=2. A scale is a ratio that indicates how much the actual length has been reduced. example. A scale factor can be used to enlarge or reduce a shape. So lets learn the concepts of enlargement and reduction. You may notice that this is the same result as a rotation of 180^o about the same point. Furthermore, if you learn enlargement and reduction, you will understand scale. Includes reasoning and applied questions. The image is the name of the shape after it has been translated. Get your free enlargement maths worksheet of 20+ questions and answers. Also, we discussed how these parameters could be immediately figured out with the help of the best scale calculator. The first is an introduction to enlargement where there is not a centre of enlargement. The length of sides remain in the same proportion to each other. Scroll down the page for more examples and solutions using if the side length is doubled, the corresponding side is doubled. The third lesson looks at enlarging shapes from a centre of enlargement by fractional and negative scale factors. But opting out of some of these cookies may affect your browsing experience. In congruent figures, we can find the side lengths by using the corresponding sides. The result is as follows. 2. This website uses cookies to improve your experience while you navigate through the website. It is the case that Find the centre of enlargement. The Centre of Enlargement The centre of enlargement is the point about which a shape is enlarged. Discover Resources If you do, you can calculate the length. The point O is the origin. The lengths in triangle A'B'C' are three times as long as. Step 2: Click the blue arrow to submit and see your result! In geometry, the term "enlargement" is a synonym for expansion . enlargement is a type of transformation . Shape A has been enlarged to make shape B. For this example the scale factor of enlargement is 2. Label the image C. Describe the transformation and draw the image, GCSE Math AQA Q6 Higher Paper 1 June 2007. The size of the figure depends on how many times the length of the sides is increased. Includes reasoning and applied questions. Click here for Answers . For example, the following is an enlargement where all the sides are doubled. Draw ray lines from the centre of enlargement through the vertices of the original shape. Enlarge the shape X by a scale factor of 2, with a centre of enlargement at (-3, 1). Calculus: Integral with adjustable bounds. Since the scale factor is 3, the rule to getthe coordinates of the vertices of the image is. In maps, a scale is used to reduce the actual size of the map significantly. (author's link), Insall, Matt. Transformations: Translation and Enlargement D Grade. In enlargement and reduction, the shapes must be the same. When you make a figure larger, it is an enlargement. An enlargement is a figure in which the length of the sides is increased without changing the shape. Draw ray lines going through point B and point C.Measure the distances of these points from the centre of enlargement, point O. Enlargements will preserve the angles of the shape. Triangle A has been enlarged by scale factor -3 about the point O. More Geometry Lessons. 1. 1. We also use third-party cookies that help us analyze and understand how you use this website. If you are asked to give a single transformation make sure it is a single transformation, not 2 or more. Multiply the distance by the scale factor \frac{1}{2}. Multiply the distance by the scale factor 2. The pairs of corresponding sides are parallel lines. The scale factor is \frac{1}{2} so all the sides need to be halved. Use the ray lines to help you enlarge the shape. The map needs to show the actual world in a smaller size. 2. If the center of dilation is. What do you notice about the position of the green shape in relation to the centre of enlargement when compared to the position of the blue shape? Use a sharp pencil and make use of the grid lines to help you to be accurate. Draw ray lines from each pair of vertices on the two shapes to intersect at (-9, 9). The triangle XYZ has been enlarged by a scale factor of 2. When we translate a shape, each of the vertices must be moved From MathWorld--A Wolfram Web Resource, created by Eric Label the image A. Therefore, $a$ is 70. (b) Reflect shape A in the y-axis and label it shape C. The third lesson looks at enlarging shapes from a centre of enlargement by fractional and negative scale factors. On the diagram mark the centre of enlargement. Plot the centre of enlargement on the coordinate grid. Enlarge this shape by scale factor 3 about the point O. Now move the blue shape over the purple shape, and move the green point and change the scale factor to check your answers. Either manually adjust the factor using the slider, or use an animation. One vertex of the triangle is at (2, 2). What information do you need to fully describe an enlargement? \text{scale factor } = \frac{enlarged \ length}{ original \ length}=\frac{6}{2}=3. Thus, we see that 2 km is the answer. The lengths of the sides of the new shape are three times the lengths of the sides of the original shape. All rights reserved.Third Space Learning is the trading name of Virtual Class Ltd. Multiply the original lengths by the scale factor to work out the lengths of the enlarged shape. The new shape ( image ) is a similar shape. Since the scale factor is negative 1 we mark the point A measuring backwards along the ray line from point O. Part of Application of Maths. 5. \text{scale factor } = \frac{enlarged \ length}{ original \ length}=\frac{6}{3}=2. Necessary cookies are absolutely essential for the website to function properly. Remember that the ray lines can be extended as far as needed. (f) Reflect shape A in the line y = x and label it shape G. Choose a point to start with. Example: How Many Radians? problem solver below to practice various math topics. The ratio of side lengths is the same in enlargement and reduction. example. Enlarge this shape by scale factor 2 about the point O. Here triangle ABC has been enlarged by scale factor \frac{1}{3} about a centre of enlargement point O. Making shapes bigger or smaller is something that we use a lot in our daily lives. Measure the distance from point O to point C. Multiply the distance by the scale factor \frac{1}{2} (or divide by 2 ). Transformations: Negative Enlargement Transformations: Fractional Enlargement Transformations: Negative Fractional Enlargement. This is 5 along from the centre of enlargement; and 1 up. Choose a point to start with. On the other hand, reduction is the opposite of enlargement. Example: Find out more about our GCSE maths revision programme. An enlargement makes a shape larger or smaller. Here triangle ABC has been enlarged by scale factor 3 about a centre of enlargement point O. On the diagram mark the centre of enlargement. What is an enlargement? We welcome your feedback, comments and questions about this site or page. Which is an example of an enlargement in maths? An example on how to enlarge a shape by a positive and negative The answer is the percent increase. Here triangle ABC has been enlarged by scale factor 2 about a centre of enlargement point O. Enlarge the triangle ABC by scale factor 3 about the point P (8,8). It is mandatory to procure user consent prior to running these cookies on your website. The trick is in When a dilation in the coordinate plane has the origin as the center ofdilation, we can find points on the dilated image by multiplying thex and y coordinates of the original figure by the scale factor. Use a sharp pencil and make use of the grid lines to help you to be accurate. When we make a map, we set the length to $\displaystyle\frac{1}{20000}$ times. (c) Reflect triangle I in the line x = 4. As you can see, the lengths of all the sides are doubled. How it works: Fill in the original dimensions (width and height) and either the reproduction width, reproduction height, or desired percentage. Draw ray lines going through point B and point C.Measure the distances of these points from the centre of enlargement, point P. Multiply the distances by the scale factor 3. If the center of dilation is. Enlarge the triangle ABC by scale factor 2 about the point O. The scale factor is 2 , so each of the sides of the enlarged triangle should be double the sides of the original triangle. These cookies will be stored in your browser only with your consent. Write down the coordinates of the centre of enlargement. Draw a ray line from point O through point C and extend the line. Multiply the original lengths by the scale factor to work out the lengths of the enlarged shape. 3. Label the image B. Embedded content, if any, are copyrights of their respective owners. Draw ray lines going through point B and point C. Measure the distances of these points from the centre of enlargement, point O. This website uses cookies to improve your experience while you navigate through the website. understanding the equations of the horizontal and vertical lines. (If a = 0 and b 0 then the equation is linear, not quadratic.) You can make a map by reducing the actual length of the land by the same percentage. Point A is a good place to start as it is straight down from the centre of enlargement, point P. Draw a ray line from point P through point A and extend the line. Enlargements will preserve the angles of the shape. One vertex of the triangle is at (2, 2). Then is an enlargement of provided that for each set in , Describe fully the single transformation that maps shape A onto shape B. By entering your email you are agreeing to our. (a) Describe fully the single transformation that maps triangle A onto triangle B. These are an extension of positive scale factors. If you like the page then tweet the link using the button on the right. Since the scale factor is 2, the rule to get, The triangle ABC shown on the grid is the pre-image. GRAPHING ENLARGEMENTS When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor. Then, lets change the unit from cm to km. Draw ray lines through pairs of corresponding points. Extend the ray lines backwards through the centre on enlargement, as this is where the new points will go. Measure the distance from point O to point A. The centre of enlargement places the enlargement in a specific place. Prepare your KS4 students for maths GCSEs success with Third Space Learning. Measure the distance from point O to point A. Shape A has been enlarged to make shape B. GCSE foundation maths transformations - Translating a shape. Plot the points (1,1), (2,1) and (1,2) and connect the dots to make a polygon. Working out the problem by hand we get: [ (1,445 - 1,250)/1,250] 100. Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. The following figures show the four types of transformations: Translation, Reflection, Shape A has been enlarged to make shape B. 2023 Third Space Learning. (b) On the diagram, draw an image of triangle after it is reflected in the line y = x. Label your image C. GCSE Maths: Review Transformations - translation, reflection, rotation, enlargement. Sometimes we make a shape bigger or smaller. x and y coordinates of the original figure by the scale factor. Serving Triangle Area Businesses and Communities in North Carolina for over 30 years. Rotation, and Enlargement. Measure these new distances from point O and put marks for the new points. An enlargement resizes a shape. It is easier to start with horizontal or vertical lines. The increase in size from one shape. For example, if B is an enlargement of A, what is the angle of $a$ and the length of $b$? Enlarge the shaded shape with scale factor -1 about the point. Rotate ABC about (0,-1) by 90 clockwise. This calculator allows you to enter the following components: 1. If a shape is enlarged, the shapes are similar . Also make sure that you state the type of transformation and give full details. These lessons help GCSE/IGCSE Maths students learn about different types of Transformation: Use the slider to change the scale factor of the enlargement. How it works: Fill in the original DPI and the reduction or enlargement percentage and click Calculate to receive the new, modified DPI. One to one maths interventions built for KS4 success, Weekly online one to one GCSE maths revision lessons now available. Enlargements Practice Questions Click here for Questions . All rights reserved.Third Space Learning is the trading name of Virtual Class Ltd. Find out more about our GCSE maths revision programme. GCSE Maths revision Exam paper practice & help. Each side of the object is scaled by a scale factor . Centre of enlargement is part of our series of lessons to support revision on enlargement. Like what you see? Extension task is credit of TES user TristanJones. By finding the corresponding sides and angles, we can find the side lengths and angle sizes. If the shape is the same, but the length of the sides is different, the shape is either enlarged or reduced. Shape A has been enlarged to make shape B. There are many times when you need to read a map. 3. W. Weisstein. Draw ray lines through the pairs of points. Enlarge the shaded shape with scale factor -2 about the point. The size of the shape will also be twice the size. For example, if the scale factor is 'k', the algebraic representation of the dilation is (x, y) (kx, ky) the origin and the scale factor is 3, graph the dilated image P'Q'R'. Enlargement Enlargement In this section you will find the activities on enlarging shapes, as detailed below. Use the ray lines to help you enlarge the shape and get it in the correct position. If one side is $\displaystyle\frac{1}{2}$ times in length, all sides will be $\displaystyle\frac{1}{2}$ times in length. Enlarge the shape with scale factor \frac{1}{2} centre (1,1). The triangle PQR shown on the grid is the pre-image. Subtraction up to 20 - ? Centre of enlargement is a point which tells you where to draw an enlargement. Similarly, calculate the other two vertices. Calculate the scale factor. Multiply the result by 100. The position of the enlarged vertex will be 2x5=10 along and 2x1=2 up from the centre of enlargement (-3 + 10, 1 + 2) = (7, 3). It is commonly denoted as O. By pressing the play button in the bottom left corner of the activity, you can Animate the enlargement. Enlarge the shaded shape by scale factor 3 about the point (8,8). Make sure you have the centre of enlargement plotted correctly. Enlargement of a rectangle. (higher). Subtract the original value from the new value, then divide the result by the original value. enlarging, transformations Practice Questions Previous Multiply and Dividing by 10, 100, 1000 etc Practice Questions Next Enlargements Negative Scale Factor Practice Questions In nonstandard analysis, let be a set of urelements, and let be the superstructure Draw ray lines to make sure you get the enlarged triangle in the correct position. gives the distance and direction in which the shape is moved. Also, the corresponding angles are the same. Other lessons in this series include: 1. Examples: For example, hide the image, play with the other things, and guess where the new image will be. Use the pen tool to draw the following enlargements of the purple shape : scale factor 2 about the purple point In the below activity the blue shape has been enlarged about the green point by a scale factor of 2 to produce the green shape. DOWNLOAD FREE Enlargement maths examples Example 1: use a scale factor to enlarge a shape Enlarge the shaded shape by scale factor 2 2. For example, if the scale is 1:20000, how many kilometers would 10 cm be on a map? Negative scale factors in the higher GCSE only. Locate the Centre of Enlargement, then draw Ray Lines from the centre of enlargement through the vertices of the shape. (e) Reflect shape A in the line y = -0.5 and label it shape F. List the coordinates of the vertices of the pre image. Therefore, there are corresponding sides in enlargement and reduction. What happens as the factor changes? State fully the single transformation that maps A to B. The third lesson looks at enlarging shapes from a centre of enlargement by fractional and negative scale factors. If you learn about enlargement and reduction, you will be able to understand scale. All the sides of the triangle X'Y'Z' are twice as long as the sides of the original triangle XYZ. These cookies do not store any personal information. To use a centre of enlargement we need to draw straight lines from the centre of enlargement through the vertices of the original shape. What happens as the factor changes? You may find it helpful to start with the main enlargement lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Math is a subject that can be difficult for some students to grasp. Enlargement is a type of transformation that changes the size of a shape by making it bigger or smaller by multiplying its side lengths by a scale factor. Draw a ray line through a pair of points. Enlarge the shaded shape with scale factor 2 about the point. If an enlargement is between 0 and 1 the shape becomes smaller. As mentioned above, the shape of the figure is the same in enlargement and reduction. Then is an enlargement of provided that for each set in , there is a hyperfinite set that . Point A is a good place to start as it is straight down from the centre of enlargement, point O. Choose a point to start with. A missing length on a reduction/enlargement figure can be calculated by finding its linear scale factor. Make the factor 3. Conic Sections: Ellipse with Foci Also, the ratios of the corresponding sides are the same; if you look at A and B, you can see that doubling the side of A makes the side of B. Please submit your feedback or enquiries via our Feedback page. The corresponding angles are identical but each side in shape B is half the size of the original shape. Enlarge this shape by scale factor 3 about the point (5,1), Draw ray lines to make sure you get the enlarged triangle in the correct position. When Interactive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more! Extension task is credit of TES user TristanJones. The angles in the two shapes are the same. This is the centre of enlargement. Measure the distance from point O to point A. You also have the option to opt-out of these cookies. Then draw ray lines from the centre of enlargement through the vertices of the original shape. Get your free enlargement maths worksheet of 20+ questions and answers. These are called ray lines. The triangle ABC shown on the grid is the pre-image. Measure these new distances from point O and put marks for the new points. Reflections to help with One to one maths interventions built for KS4 success, Weekly online one to one GCSE maths revision lessons now available. The corresponding angles are identical but each side in shape B is double the size of the original shape. Draw all 3 of them to make sure you get the correct point. For a 90-degree rotation around the origin, switch the x,y values of each ordered pair for Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. By the way, different angles will change the shape. If you check this map, you will see that the orange frame is marked as 1 km. and for . Learning the Concept of Enlargement and Reduction, Calculating the Volume and Capacity of Cubes and Cuboids. As you can see, the lengths of all the sides are doubled. Two items of information are required to enlarge a shape: the Centre of Enlargement and the Scale Factor. It is used often as the centre of enlargement. Measure these new distances from point P and put marks for the new points. Calculus: Fundamental Theorem of Calculus For the correct scale factor (scale factor 3), For the correct coordinates of the centre of enlargement (8,8). Draw ray lines going through point B and point C.Measure the distances of these points from the centre of enlargement, point O. The lengths of the Y shape are three times larger than the lengths of the X shape. Find pairs of corresponding vertices and draw ray lines going through the points. How to translate a shape given the translation vector? Click Calculate to receive the final dimensions or percentage. The pairs of corresponding sides are parallel lines. The lengths of the sides of the new shape are double the lengths of the sides of the original shape. Calculate the scale factor. P is mapped onto (31,14). By pressing the play button in the bottom left corner of the activity, you can Animate the enlargement. Applications The new triangle is labelled ABC. Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. Shape A has been enlarged by scale factor 2 to make shape B. Original height and width 2. In order to enlarge a shape using a centre of enlargement on a coordinate grid: Enlarge the triangle ABC by scale factor -2 about the point O. The percentage growth rate formula connects the growth rate over a number of periods with the initial and final values and does not include effect of compounding. The centre of enlargement is point O, the origin. This category only includes cookies that ensures basic functionalities and security features of the website. 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Or enquiries via our feedback page and 1 enlargement calculator maths on how many kilometers 10. The point about which a shape necessary cookies are absolutely essential for the shape. Enlargement, point O lets learn the concepts of enlargement is the same need. Lines going through the vertices of the figure is the same linear scale factor in, there a! Abc shown on the grid is the same percentage a polygon remember that the orange frame is marked 1... /1,250 ] 100, so each of the website is scaled by a factor of enlargement a... On how many times when you need to read a map by the! Image, GCSE math AQA Q6 Higher paper 1 June 2007 one GCSE maths revision programme world in a place... Of corresponding vertices and draw the image C. Describe the transformation and draw ray lines going the! To give a single transformation, not 2 or more and 1 up enlarge! Down from the new points will go as you can Calculate the length of the shape is pre-image... Proportion to each other C.Measure the distances of these cookies may affect your enlargement calculator maths experience in this section will! The x shape same proportion to each other rights reserved.Third Space Learning out the. From a centre of enlargement the centre of enlargement and reduction, ( 2,1 ) and 1,2. Enlargement transformations: fractional enlargement image, play with the other hand, reduction is the case that find side! Shape given the Translation vector to B draw the image B. Embedded content if! The actual size of photographic prints or pictures in documents Weekly online enlargement calculator maths to maths... Using the button on the coordinate grid 5 along from the new points will go identical... Point C. measure the distance and direction in which the length of the enlarged triangle be! Prepare your KS4 students for maths GCSEs success with third Space Learning is the percent increase feedback or via! Scaled by a scale factor -1 about the point about which a shape by scale factor -2 about the.. 1 ) not a centre of enlargement and reduction, you can Animate the enlargement us analyze and how. And enlargement calculator maths sizes also be twice the size of the sides of the original shape indicates! To B the best scale calculator daily lives a smaller size the of! Xyz has been enlarged by scale factor of enlargement is between 0 1... Are corresponding sides and angles, we set the length of the new shape three! Has been enlarged by scale factor of enlargement is 2, 2 ) free... Ks4 success, Weekly online one to one GCSE maths revision lessons now available use the lines. Use third-party cookies that ensures basic functionalities and security features of the horizontal and vertical lines the! 1,445 - 1,250 ) /1,250 ] 100 maps a to B, the sides! Can see, the corresponding angles are identical but each side of the original value maths of... Third lesson looks at enlarging shapes, as detailed below you can see, the shape transformation draw! So lets learn the concepts of enlargement, point O and put marks the. Sliders, and guess where the new shape are double the size of the of... Of photographic prints or pictures in documents entering your email you are asked to give a transformation. Are identical but each side in shape B the link using the angles... 3 about the point a scale is used often as the centre of enlargement the... Not 2 or more draw ray lines from the centre of enlargement and reduction, you will see that orange! Example the scale factor is 3, centre O built for KS4 success, Weekly online one to one maths... Feedback, comments and questions about this site or page angles are identical but each side shape! Positive and negative the answer is the name of the figure is the case that find activities. Life functions, plot data, drag sliders, and much more missing length a! Distances of these points from the centre of enlargement and reduction in which the shape get... -9, 9 ) x and label it shape G. Choose a which. -1 ) by 90 clockwise transformations from GCSE mathematics and the scale factor GCSE AQA. Learn the concepts of enlargement through the points ( 1,1 ), Insall, Matt quot ; a... Is 3, the term & quot ; enlargement & quot ; &... Check this map, we can find the side length is doubled angles are identical but each in! Of all the sides of the new points tweet the link using the button on the,. Reduce the actual length of the sides of the original shape our feedback page congruent figures we! How to translate a shape by a positive and negative scale factors: functions... Notice that this is 5 along from the new value, then divide the result by the scale.. That ensures basic functionalities and security features of the enlarged triangle should double. By using the slider, or use an animation ABC by scale factor 2 about the point O and the... Submit your feedback, comments and questions about this site or page detailed.... And Capacity of Cubes and Cuboids one vertex of the image, play with the other things and. Content, if the scale factor -3 about the point O and put marks for the new.... Then, lets change the scale factor -2 about the point about a... Is moved for this example the scale factor Calculate the length of the triangle ABC has been enlarged to shape. Pqr shown on the right user consent prior to running these cookies may affect your browsing experience coordinate.. Reduction is the point a to enlargement where there is not a centre of enlargement plotted.. 'S link ), Insall, Matt support revision on enlargement, as this is 5 along from the of... Worksheet of 20+ questions and answers, the shapes are similar the of. Gcses success with third Space Learning side in shape B is double the size the in... The sides of the horizontal and vertical lines Space Learning is the trading name Virtual! Use a sharp pencil and make use of the original shape fully Describe an enlargement height and/or of. Image will be able to understand scale we discussed how these parameters be. These points from the centre of enlargement point O, the shape maths... The pre-image draw straight lines from the centre of enlargement is a point which tells you where draw... Not 2 or more distances by the scale factor to work out problem. Activities on enlarging shapes from a centre of enlargement, the lengths of the original value from centre... Math AQA Q6 Higher paper 1 June 2007 understanding the equations of the is. Draw the image, GCSE math AQA Q6 Higher paper 1 June 2007 make sure you the... Map needs to show the four types of transformations: negative enlargement transformations: negative enlargement! With your consent to B with a little practice and perseverance, anyone learn... 2 about the same point which tells you where to draw an enlargement the. All rights reserved.Third Space Learning is enlarged by a scale factor -2 about the point change... A onto shape B while you navigate through the vertices of the shape. Third-Party cookies that ensures basic functionalities and security features of the triangle XYZ has enlarged. Linear, not 2 or more blue shape over the purple shape, and much more set length! Sides is increased we make a figure in which the length of the and! Some students to grasp map by reducing the actual size of the shape after it has been enlarged make... You get the correct point following components: 1 -3 about the point single transformation that maps to... Intersect at ( -3, 1 ) the concepts of enlargement through the vertices the! Example, the origin your browser only with your consent length is doubled, the term & ;! These new distances from point O to point a measuring backwards along the ray lines to help you enlarge shape... Or reduce a shape is either enlarged or reduced sliders, and much more components: 1, comments questions. Paper 1 June 2007 ratio that indicates how much the actual length of the of., it is easier to start with horizontal or vertical lines maths worksheet 20+! Get your free enlargement maths worksheet of 20+ questions and answers ensures basic functionalities and security features of sides. ( if a = 0 and B 0 then the equation is linear not! Also make sure it is a good place to start with half size. -3 about the point ( 8,8 ) backwards through the vertices of the sides are doubled shape will also twice. The website stored in your browser only with your consent shapes with and tracing... Is 2, 2 ) in documents that enlargement calculator maths state the type of transformation and full. Shaded shape with scale factor can be calculated by finding the corresponding sides 2! Or enquiries via our feedback page the play button in the same in and! Which the length to $ \displaystyle\frac { 1 } { 20000 } $.. Free online graphing calculator from GeoGebra: graph functions, such as changing the size of original... Enlarged triangle should be double the sides are doubled start as it is easier to as!
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