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

Which congruence statement correctly compares the two triangles shown? answers: A-example-1
User Tennile
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2 Answers

3 votes

Answer:

A) ΔBCD ≅ ΔMKL

Explanation:

User Antonia
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3 votes

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
User NBW
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