Question

A street is drawn by dilating segment FG¯ about center A with a scale factor greater than 0 but less than 1. Is this an enlargement or a reduction?

Answer 1

Answer: This is an reduction.

Explanation:

• A dilation a king of transformation that creates an similar image (about a center of dilation) of the actual figure by changing its size with the use of a scale factor(k).

• It either shrinks or stretches the image.

1. If |k| is greater than 1 then the image is an enlargement .
2. If |k| is less than 1 then the image is an reduction.
3. If |k| is equals to 1 then there is no change in size.

Given : A street is drawn by dilating segment
`\overline{FG}` about center A with a scale factor greater than 0 but less than 1.

Then by using (2.) , we can say that this is an reduction.