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The triangles shown are congruent.

What is a correct congruence statement for the triangles shown?

The triangles shown are congruent. What is a correct congruence statement for the-example-1

2 Answers

5 votes

The correct congruence statement is SSS, or Side-Side-Side. We see that lines QD and MC are equivalent, QJ and MW are equivalent, and lines DJ and CW are equivalent

5 votes

Answer: SSS congruence postulate

Explanation:

In the given picture , we have two triangles
\triangle{QDJ}\text{ and}\triangle{MCW}.

In
\triangle{QDJ}\text{ and}\triangle{MCW}, we have


\overline{QJ}\cong\overline{MW}\\\\\overline{DJ}\cong\overline{CW}\\\\\overline{QD}\cong\overline{MC}

Then by SSS congruence postulate , we have


\triangle{QDJ}\cong\triangle{MCW}

SSS congruence postulate says that any two triangles are congruent if all three sides in first triangle are congruent to the corresponding sides in the second.

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