Chapter 13, Problem 9STP

To determine

The congruence statement for the given triangle pairs:

  

Answer to Problem 9STP

The congruence statement for the given triangle pairs:

  $\begin{array}{l}HR\cong OP\\ RW\cong IO\end{array}$

Explanation of Solution

Given pair of triangles:

  

If two figures or objects having the same size or shape then these figures are known as congruent figures.

In the congruence figures, either two lines have the same length or two angles have the same measures.

Here, pair of triangles are congruence triangles because in $\Delta HRW\cong \Delta IOP$ :

  $\begin{array}{l}HR\cong OP\\ RW\cong IO\end{array}$

So, here two lengths are of same size which is nothing but the congruence statement of the pair of triangles.

Conclusion:

Hence, the congruent figure and the term is well explained above.