Chapter 9.8, Problem 33E

To determine

Tofind:Corresponding parts is similar triangle ABC and DEF

Answer to Problem 33E

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

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

Explanation of Solution

Given information:

  $\Delta ABC\sim \Delta DEF$

Concept Used:

Two triangles of same shape but different size are called similar triangles, sides and angles of similar triangle are corresponding to each other.

Calculation:

As the triangles are similar, we can find the corresponding parts-

Corresponding angles will be-

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

Corresponding sides will be-

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