### Home > CCG > Chapter 3 > Lesson 3.1.3 > Problem3-29

3-29.

Rakisha is puzzled. She is working with the parallelogram drawn at right and wants to make it smaller instead of bigger.

1. What should she do if she wants the sides of her new figure to be half as long as the original sides? What zoom factor should she use? Find the dimensions of her new figure.

Rakisha should use a zoom factor of $0.5$. The new side lengths will be $8$ and $5.5$.

2. While drawing some other shapes, Rakisha ended up with a shape congruent to the original parallelogram. What is the common ratio between pairs of corresponding sides?

What would Rakisha multiply her first shape's sides by to get the second shape?

The ratio is $\text {1:1}$ because it is congruent.