asked 130k views
3 votes
Please help! geometry, thanks if you do help.

Please help! geometry, thanks if you do help.-example-1
asked
User Nif
by
8.6k points

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

__

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.

answered
User Raphael Serota
by
7.6k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.