Question

In triangles ABC and XYZ, if the lengths of the sides are such that AB equals XY, BC equals YZ, and CA equals ZX, which congruence rule demonstrates that triangle ARC is congruent to triangle XYZ?

• A. SSS
• B. SAS
• C. ASA
• D. AAS

Answer 1

Answer:

A. SSS

Given:

• (AB = XY)

• (BC = YZ)

• (CA = ZX)

All three corresponding sides of the two triangles are equal.

Therefore, the triangles are congruent by the SSS (Side–Side–Side) congruence rule.

So,

$\boxed{\text{SSS congruence rule}}$