Chapter SH, Problem 11.2.2EP

To determine

To calculate: Complete the congruence statement.

Answer to Problem 11.2.2EP

Congruent statement is $△IHG\cong IJK$ .

Explanation of Solution

Given information:

  

Calculation:

For completing the congruence statement,

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

From figures, corresponding angles are:

  $\begin{array}{l}\angle I\cong ID\left(\sin glearc\right)\\ \angle G\cong \angle K\left(threearc\right)\\ \angle H\cong \angle J\left(twoarc\right)\end{array}$

From the figure, the corresponding are,

  $\begin{array}{l}GI\cong KI\left(\sin gletickmark\right)\\ IH\cong IJ\left(Twotickmark\right)\\ HG\cong JK\left(Threetickmark\right)\end{array}$

So congruent statement is $△IHG\cong IJK$ .