Chapter 11.2, Problem 2CYU

To determine

To find: the name of the corresponding parts in each pair of congruent triangles, then complete the congruence statement.

Answer to Problem 2CYU

The congruence statement is

  $\Delta STR\cong \Delta JKH$

Explanation of Solution

Given information:

  $\begin{array}{l}\Delta RST\cong \Delta GJK\\ \Delta STR\cong \underset{\_}{}\end{array}$

Calculation:

Consider the congruence statement

  $\Delta RST\cong \Delta HJK$

If two triangles are congruent then their corresponding angles and their corresponding sides are congruent.

Since $\Delta RST\cong \Delta HJK$ , so the corresponding angles and the corresponding sides are congruent.

  $\begin{array}{l}\angle R\cong \angle H\\ \angle S\cong \angle J\\ \angle T\cong \angle K\end{array}$

And,

  $\begin{array}{l}RS\cong GJ\\ ST\cong JK\\ TR\cong KG\end{array}$

From above the corresponding angles are

  $\begin{array}{l}\angle S\cong \angle J\\ \angle T\cong \angle K\\ \angle R\cong \angle H\end{array}$

And, the corresponding sides are

  $\begin{array}{l}ST\cong JK\\ TR\cong KG\\ RS\cong GJ\end{array}$

Therefore, the congruence statement is

  $\Delta STR\cong \Delta JKH$