Question

Refer to Problems 1-3 to solve Problems 4–6. The first one is done for you. 4. A scale factor between 0 and 1 produces a similar figure that is smaller than the original figure. 5. In Problem 2, YZ = _=4V5, and UV = v=2v5. The ratio of YZ to UV in simplest form is 6. If one polygon can be mapped to another by a series of then the polygons are Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility 218

Answer 1

The ratio of YZ to UV is 2:1

1) Considering that the distance between YZ is 4√5 and the distance between points U and V is 2√5 the ratio of YZ to UV can be found through this:

$\frac{YZ}{UV}=\frac{4\sqrt[]{5}}{2\sqrt[]{5}}$

2) Let's rationalize it by multiplying both numerator and denominator by √5 to simplify removing the radicals on the denominator.

$\frac{YZ}{UV}=\frac{4\sqrt[]{5}}{2\sqrt[]{5}}\cdot\frac{\sqrt[]{5}}{\sqrt[]{5}}=\frac{4\sqrt[]{5^2}}{2\sqrt[]{5^2}}=\frac{4\cdot5}{2\cdot5}=\frac{2}{1}$

3) So the ratio of YZ to UV is 2:1