Question

Which proportion shows corresponding sides are proportional in the proof of ΔWXZ ~ ΔXYZ?

a) 5 over 10 equals 5 over 2 and one half
b) 5 over 10 equals 5 over 5
c) 10 over 5 equals 5 over 2 and one half
d) 10 over 5 equals 2 and one half over 5

Answer 1

The proportion that shows corresponding sides are proportional in the proof of ΔWXZ ~ ΔXYZ is (a) 5 over 10 equals 5 over 2 and one half.

Step-by-step explanation:

The proportion that shows corresponding sides are proportional in the proof of ΔWXZ ~ ΔXYZ is (a) 5 over 10 equals 5 over 2 and one half.

To understand why this proportion shows corresponding sides are proportional, we can break it down step by step:

1. The scale factor is 5 over 10, which can be simplified to 1 over 2.
2. The actual ratio of the corresponding side lengths is also 5 over 2 and one half. This means that if we multiply the scale factor by the corresponding side lengths, we will get the actual side lengths.
3. For example, if the corresponding side length in ΔWXZ is 5 and the scale factor is 1 over 2, then the actual side length in ΔXYZ would be 5 multiplied by 1 over 2, which is 2 and one half.