(a) Define congruent triangles. (b) State the Side–Side–Side (SSS) congruence…

MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles

Problem

(a) Define congruent triangles. (b) State the Side–Side–Side (SSS) congruence criterion. (c) Two triangles

\triangle LMN

and

\triangle PQR

satisfy

LM = PQ = 4.5\,\text{cm}

MN = QR = 6.2\,\text{cm}

and

LN = PR = 7.1\,\text{cm}

. The triangles are placed so that vertex

L

coincides with

P

and vertex

M

coincides with

Q

. Identify the three pairs of corresponding sides. (d) Explain why the two triangles are congruent.