1 Answer

Ibraheem Ahmed · Answer 1 · 2022-11-09T02:24:17+0000

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
$\Delta BEA\cong \Delta NPM$ .

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