What happens to the enlargement when it is enlarged by a negative scale factor?
An enlargement with a negative scale factor produces an image on the other side of the centre of enlargement. The image appears upside down. The rectangle ABCD has been enlarged by a scale factor of . The lengths in rectangle A’B’C’D’ are times as long as rectangle ABCD.
How do you enlarge a shape from the center of enlargement?
Enlargement is an example of a transformation. A transformation is a way of changing the size or position of a shape. To enlarge a shape, a centre of enlargement is required. When a shape is enlarged from a centre of enlargement, the distances from the centre to each point are multiplied by the scale factor.
What is an enlarged scale factor?
When describing enlargements you must state by how much the shape has been enlarged. A scale factor of means that the side-lengths of the new shape are three times the side-lengths of the original. …
How do you do enlargements?
To enlarge a shape, multiply all lengths of the shape by the scale factor. The scale factor tells us how many times larger the shape will be. For example, enlarging a shape by scale factor 2 means that all of the sides will become 2 times longer. This rectangle is 1 square wide and 2 squares long.
What does it mean by centre of enlargement?
Centre of enlargement is a point which tells you where to draw an enlargement. An enlargement is a type of transformation where we change the size of the original shape to make it bigger or smaller by multiplying it by a scale factor.
Is 1 an enlargement or reduction?
If the scale factor is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement.
What are the properties of enlargement?
Properties of Enlargement
- The scale factor =
- The centre of enlargement is the only point that does not move (invariant)
- The shape of the object does not change when enlarged.
- The sizes of the angles in the object and image do not change (invariant)
What is the center of enlargement?
Where is the centre of enlargement?
The point at which your ray lines meet will be the centre of enlargement. You may also be asked to find the scale factor of enlargement. For this example the scale factor of enlargement is 2.