Chapter 6.4, Problem 10E

To determine

To Find: the ratio of the lengths of corresponding sides of figure A to figure B

Answer to Problem 10E

The ratio is 1.

Explanation of Solution

Given information: From the figure provided in the question. Length of the sides are same as both the figures represent a square, each side is of 7yards

Calculation:

In triangles JKLM and WXYZ

Since $JKLM\sim WXYZ$

Therefore, ratio of corresponding sides is calculated as,

  $\frac{JK}{WX}=\frac{7}{7},\frac{KL}{XY}=\frac{7}{7},\frac{LM}{YZ}=\frac{7}{7},\frac{JM}{WZ}=\frac{7}{7}$

For similar figures the corresponding sides are equal.

  $\frac{JK}{WX}=\frac{KL}{XY}=\frac{LM}{YZ}=\frac{JM}{WZ}=\frac{7}{7}=\frac{1}{1}$

Hence. the ratio is $\frac{1}{1}$