Chapter 4, Problem 23SGR

To determine

The congruent triangles.

Answer to Problem 23SGR

  $\begin{array}{l}\Delta BFG\cong \Delta CGH\cong \Delta DHE\cong \Delta AEF\\ \Delta EFG\cong \Delta FGH\cong \Delta GHE\cong \Delta HEF\end{array}$

Explanation of Solution

Given:

The given figure is:

Calculation:

The given figure is a square in the middle with an equilateral triangle attached to each four sides. The four outer triangles are congruent. The square is also made up of four congruent triangles.

The two groups of congruent triangles are:

  $\begin{array}{l}\Delta BFG\cong \Delta CGH\cong \Delta DHE\cong \Delta AEF\\ \Delta EFG\cong \Delta FGH\cong \Delta GHE\cong \Delta HEF\end{array}$