Question

if triangle LMN congruent to triangle PQR then state all pairs of congruent sides and angles

Answer 1

side LM is congruent to side PQ
SIDE MN IS CONGRUENT TO SIDE QR
SIDE LN IS CONGRUENT TO SIDE PR
ANGLE P IS CONGRUENT TO ANGLE L
ANGLE M IS CONGRUENT TO ANGLE Q
ANGLE N IS CONGRUENT TO ANGLE R
HOPE IT WILL BE USEFUL

Answer 2

All the corresponding angles and sides of ΔLMN & ΔPQR will be congruent.

Step-by-step explanation:

Given:

ΔLMN is congruent to ΔPQR

To find:

congruent angles and sides

Solution:

When two triangles are congruent to each other, the corresponding angles and sides of those two triangles will also be equal and congruent in length.

The corresponding angles for both the triangles LMN & PQR will be

∠MLN will be congruent to the first and corresponding angle of ΔPQR which is ∠QPR

∴ ∠MLN ≅ ∠QPR

Similarly, ∠LMN ≅ ∠PQR

∠LNM ≅ ∠QRP

Next, the corresponding side LM & PQ will be congruent

∴ side LM ≅ side PQ

side MN ≅ side QR

side LN ≅ side PR

Thus, all the corresponding angles and sides of two congruent triangles will be congruent.

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