Chapter 2.8, Problem 1P

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

$△ABC~△DEF$

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

  $\Delta ABC\sim \Delta DEF$

  

Calculation:

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

are congruent.

Hence,

The corresponding sides are

  $\begin{array}{l}\overline{AB}\sim \overline{DE}\\ \overline{BC}\sim \overline{EF}\\ \overline{AC}\sim \overline{DF}\end{array}$

The corresponding angles are

  $\begin{array}{l}\angle A=\angle D\\ \angle B=\angle E\\ \angle C=\angle F\end{array}$