Chapter 2.8, Problem 2P

The figures in each pair are similar. Find the missing length.

$QRST~UVWX$

To determine

To identify: the corresponding sides and angles of the given similar figures.

Explanation of Solution

Given information:

The given similar figures are as follows

  $QRST\sim UVWX$

  

Calculation:

For similar shapes, the corresponding sides are in same ratio and corresponding angles

are congruent.

Hence,

The corresponding sides are

  $\begin{array}{l}\overline{SR}\sim \overline{WV}\\ \overline{TS}\sim \overline{XW}\\ \overline{QT}\sim \overline{UX}\\ \overline{RQ}\sim \overline{VU}\end{array}$

The corresponding angles are

  $\begin{array}{l}\angle S=\angle W\\ \angle T=\angle X\\ \angle Q=\angle U\\ \angle R=\angle V\end{array}$