Chapter 6.4, Problem 7E

To determine

To name: the corresponding angles and corresponding sides of similar triangles

Answer to Problem 7E

Corresponding angles are:

  $\angle B\text{ and }\angle \text{E, }\angle \text{C and }\angle F,\angle \text{D and }\angle \text{A}$

Corresponding sides are:

  $\text{AB and DE , BC and EF , AC and DF}$

Explanation of Solution

Given information: From the figure provided in the question. $\Delta ABC\sim \Delta DEF$

In triangle ABC and DEF

Since $\Delta ABC\sim \Delta DEF$

Therefore,

Corresponding angles are:

  $\angle B\text{ and }\angle \text{E, }\angle \text{C and }\angle F,\angle \text{D and }\angle \text{A}$

Corresponding sides are:

  $\text{AB and DE , BC and EF , AC and DF}$