How To Do An Enlargement With A Negative Scale Factor
The scale factor is found by dividing a length of a side of the enlarged shape to the length of the corresponding side of the original shape. For example multiplying a length by 1 2 will make each side half as long as it was before - which is shorter.
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As it has been inverted and the enlargement is on the opposite side of the centre of enlargement the scale factor.
How to do an enlargement with a negative scale factor. In order to enlarge a shape with a negative scale factor. Fractional Negative Scale Factors. The Scale Factor The scale factor describes how much larger or smaller the enlarged shape is compared to the original shape.
The shape is twice the size of the original scale factor 2. A First make sure that you have marked on the centre of enlargement onto your coordinate grid. It is inverted so it has a negative scale factor.
The rectangle ABCD has been enlarged by a. Secure learners will be able to perform an enlargement using a negative scale factor. The shape is on the other side of the center of enlargement and turned upside down because of the sign but it is also smaller because of the fraction.
Walked through examples on negative enlargements. Any negative distances go in the opposite direction. Draw ray lines between the matching vertices.
When the scale factor is negative the principle is exactly the same. Walked through examples on negative enlargements on a blank grid followed by increasingly difficult practice questions and activity. When there is a negative scale factor the centre of enlargement is between the original shape and the enlarged shape.
A scale factor multiplies the length of each side of the shape that is enlarged. If the scale factor is less than 1 the image is smaller than the object. For example a scale factor of 2 means that the side-lengths of the new shape are.
You already know that the size of an enlargement is described by its scale factor. Describe fully the transformation that maps shape A onto shape B. For example if the distance from the centre of enlargement to one of your corners is 3 squares right and 7 squares up and the scale factor of enlargement.
Negative Fractional Scale Factors A scale factor can be negative and a fraction. B Next count the distance from the centre of enlargement to one of the corners of your shape. How to enlarge shapes with a negative scale factor from a given center of enlargement using construction linesGeogebra is used to demonstrate d.
C Multiply these distances by your scale factor and change the directions. Excelling learners will be able to solve unfamiliar problems involving enlarging by a negative scale factor. The shape has changed size so it is an enlargement.
For example a scale factor of 1 2 will also enlarge a shape on the other side of the center of enlargement and turned upside down. An enlargement with a negative scale factor produces an image on the other side of the centre of enlargement. The Corbettmaths video on Enlargements with Negative Scale Factors.
Enlarge the shape by a scale factor of -1 about the point 02 Image. But because its negative they have to go in the opposite direction from the centre. The centre of enlargement can be described using Cartesian coordinates.
If a scale factor is a fraction between 0 and 1 then each side is going to get smaller. The image appears upside down. In the upper example on the left the scale factor is 15 or 32 if you prefer it as a fraction.
The ray lines cross at the centre of enlargement 15. When there is a negative scale. Then I circled the scale factor and said that because the scale factor is negative two to find the image they have to double the distance from the centre of enlargement.
Enlargement-to-object distance by the fraction to give the centre-of enlargement-to-image distance If the scale factor is greater than 1 the image is larger than the object.
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