In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR. Submit the entire proof to your instructor. Given: RS ⊥ ST RS ⊥ SQ ∠STR ≅ ∠SQR Prove: △RST ≅ △RSQ Statement 1. RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR 2. 3. 4.△RST ≅ △RSQ Reason 1. 2. 3. 4.

Question

Mathematics

Gianna Floyd

8 December, 14:09

In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR. Submit the entire proof to your instructor. Given: RS ⊥ ST RS ⊥ SQ ∠STR ≅ ∠SQR Prove: △RST ≅ △RSQ Statement 1. RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR 2. 3. 4.△RST ≅ △RSQ Reason 1. 2. 3. 4.

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Answers (1)

Know the Answer?

Leonard Patrick · Answer 1

I see the solution in three steps.

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS ≅RS | Reflexive Property

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property