Question

Two triangles, triangle XYZ and triangle LMN are such that XY = LM, YZ = MN, and XZ = LN. By which property are they congruent?

• A. SAS
• B. SSS
• C. RHS
• D. ASA

Answer 1

Answer:

B. SSS

The triangles are congruent by the SSS (Side-Side-Side) congruence criterion.

Since all three corresponding pairs of sides are equal ($XY = LM$, $YZ = MN$, and $XZ = LN$), the two triangles are identical in shape and size.