SOLUTION: Given a picture of a rhombus with the corners named S (top left corner), T (top right corner), U (bottom right corner), and V (bottom left corner) and ST being congruent to VU, and

Algebra ->  Geometry-proofs -> SOLUTION: Given a picture of a rhombus with the corners named S (top left corner), T (top right corner), U (bottom right corner), and V (bottom left corner) and ST being congruent to VU, and      Log On


   

Question 859182: Given a picture of a rhombus with the corners named S (top left corner), T (top right corner), U (bottom right corner), and V (bottom left corner) and ST being congruent to VU, and SV being congruent to TU, Prove that angle S is congruent to angle U. So far in the proof I have the Given written as the first step and for the second step I have AD is congruent to AD with the reason of Reflexive Property of Congruence, but I don't know where to go after that. Thank you very much for your help!
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
What is AD?

To prove angles S and U are congruent, you can show that triangles STV and UVT are congruent (hint: what congruence axiom can you use?). Once you have done so, then by CPCTC, angles S and U are congruent.