Question

In triangles GHI and RST, ∠G ≅ ∠R, ∠H ≅ ∠S, and segment GI ≅ segment RT. Is this information sufficient to prove triangles GHI and RST congruent through SSS? Explain your answer.

Answer 1

The information given is not enough to prove that ΔGH ≅ ΔRST through the SSS congruence theorem.

What is the Side-side-side Congruence Theorem (SSS)?

The side-side-side congruence theorem (SSS) states that if two triangles have three pairs of corresponding sides that are congruent to each other, then both triangles are similar to each other.

We are only given that both triangles have:

• 2 pairs of corresponding congruent angles -  ∠G ≅ ∠R and ∠H ≅ ∠S.
• 1 pair of corresponding congruent sides - GI ≅ segment RT

Therefore, the information given is not enough to prove that ΔGH ≅ ΔRST through the SSS congruence theorem.

Learn more about the SSS congruence theorem on:

brainly.com/question/2102943