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Please help! geometry, thanks if you do help.

Please help! geometry, thanks if you do help.-example-1
User Nif
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1 Answer

4 votes

Answer:

∆RQP ≅ ∆UVT

Explanation:

You want to know which two triangles in the given figure are congruent by the SAS theorem.

SAS

The acronym SAS stands for Side-Angle-Side. It means the two triangles are congruent if congruent angles lie between corresponding congruent sides.

The two triangles with a marked angle between two marked sides are the ones to which the SAS theorem applies.

∆RQP ≅ ∆UVT

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Additional comment

The congruence statement must list corresponding vertices in the same order. Here, we have listed the vertex at the end of the segment with one hash mark, then the vertex with the marked angle, and finally, the vertex at the end of the segment with two hash marks.

6 different congruence statements are possible, but whatever statement is used must list P corresponding to T, Q corresponding to V, and R corresponding to U.

User Raphael Serota
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