Question

Which congruence statement correctly compares the two triangles shown? answers: A) ΔBCD ≅ ΔMKL B) ΔCBD ≅ ΔKLM C) ΔDCB ≅ ΔMLK D) ΔBCD ≅ ΔMLK

Answer 1

A) ΔBCD ≅ ΔMKL

Explanation:

Answer 2

Answer: A) ΔBCD ≅ ΔMKL

Explanation:

In the given picture, it can be seen that

In Δ BCD and ΔMKL

∠B = ∠M

∠C = ∠K

∠D = ∠L

So, corresponding angles are equal.

Also,

segment BD = segment ML

segment DC = segment KL

segment BC = segment MK

So by using SSS (Side-Side-Side) postulate of congruence, we have

ΔBCD ≅ ΔMKL

Hence, the correct option is A) ΔBCD ≅ ΔMKL.

• SSS (Side-Side-Side) postulate of congruence says that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent