Chapter 8.7, Problem 63SR

To determine

Find the triangles that are congruent.

Answer to Problem 63SR

  $\begin{array}{l}\Delta 1\cong \Delta 11\cong \Delta 5\cong \Delta 6\\ \Delta 2\cong \Delta 4\cong \Delta 9\cong \Delta 7\\ \Delta 3\cong \Delta 10\cong \Delta 8\cong \Delta 12\end{array}$

Explanation of Solution

Given information:

  

Calculation:

Here, we will consider the following figure:

  

Hence, from the above figure the required answer is:

  $\begin{array}{l}\Delta 1\cong \Delta 11\cong \Delta 5\cong \Delta 6\\ \Delta 2\cong \Delta 4\cong \Delta 9\cong \Delta 7\\ \Delta 3\cong \Delta 10\cong \Delta 8\cong \Delta 12\end{array}$