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

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2. angle ABE = angle MNP Write another valid

Coltong121

16.03.2022

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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