Chapter 6.4, Problem 3E

To determine

To identify: all pairs of corresponding sides and corresponding angles

Answer to Problem 3E

The corresponding angles are:

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

corresponding sides are:

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

Explanation of Solution

Given information: From the figure provided in the question $\Delta ABC\sim \Delta DEF$ , identify all pairs of corresponding sides and corresponding angles,

The corresponding sides of the similar triangles are:

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

The corresponding angles of the similar triangles are:

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