Question

2. angle ABE = angle MNP Write another valid congruency statement:​

Answer 1

Given:

$\Delta ABE\cong \Delta MNP$

To find:

The congruent angles and sides, then find the another valid congruency statement.

Solution:

We have,

$\Delta ABE\cong \Delta MNP$

We know that, corresponding parts of congruent triangles are congruent (CPCTC).

Using CPCTC, we get

Angles:

$\angle A\cong \angle M$

$\angle B\cong \angle N$

$\angle E\cong \angle P$

Sides:

$AB\cong MN$

$BE\cong NP$

$AE\cong MP$

The another congruent statement is $\Delta BEA\cong \Delta NPM$.

Therefore, the required table is

Angles                                              Sides

$\angle A\cong \angle M$                                        $AB\cong MN$

$\angle B\cong \angle N$                                        $BE\cong NP$

$\angle E\cong \angle P$                                        $AE\cong MP$

The another congruent statement is $\Delta BEA\cong \Delta NPM$.