Prove the Following:

Question

Given the figure with MK=MG and HK=HG

Prove: ∠G ≅ ∠K

Answer 1

Given the figure with MK=MG and HK=HG

Prove: ∠G ≅ ∠K

1. MK = MG (Given)
2. segment MK ≅ segment MG (definition of congruent segments)
3. HK = HG (Given)
4. segment HK ≅ segment HG (definition of congruent segments)
5. segment MH ≅ segment MH (reflexive property of congruence)
6. ΔMGH ≅ ΔMKH (side-side-side congruence (SSS))
7. ∠G ≅ ∠K (corresponding parts of congruent triangles are congruent (CPCTC))