Question

Since segment xz is perpendicular to segment wy, angles wzx and xzy are both right angles and congruent. The proportion ________ shows the corresponding sides are proportional, so the triangles are similar by the SAS similarity postulate. Which proportion shows the corresponding sides are proportional?

1) 5 over 10 equals 5 over 2 and one half
2) 5 over 10 equals 5 over 5
3) 10 over 5 equals 5 over 2 and one half
4) 10 over 5 equals 2 and one half over 5

Answer 1

The proportion that shows the corresponding sides are proportional is 5 over 10 equals 5 over 2 and one half.

Step-by-step explanation:

The proportion that shows the corresponding sides are proportional is 1) 5 over 10 equals 5 over 2 and one half.

In the given scenario, segment XZ is perpendicular to segment WY. This means that angles WZX and XZY are right angles and congruent. If the corresponding sides of two triangles are proportional, then the triangles are similar by the SAS similarity postulate. Therefore, the proportion 5 over 10 equals 5 over 2 and one half shows the corresponding sides are proportional, indicating that the triangles are similar.