Question

2.12.2 from conjecture to proof
great! we now know that (\triangle efg) is congruent to (\triangle ghe).
but we still want to show that (efgh) is a parallelogram.
using corresponding parts of congruent figures are congruent,
what can we say about (angle feg) and (angle hge)?

Explanation:

Step 1: Recall the property of congruent triangles

If two triangles are congruent, then their corresponding parts (angles and sides) are congruent.

Step 2: Identify corresponding angles

Since \(\triangle EFG\cong\triangle GHE\), \(\angle FEG\) and \(\angle HGE\) are corresponding angles.

Answer:

\(\angle FEG\cong\angle HGE\)