Question

Triangles G H L and K H J are connected at point H. Angles Angles L G H and H K J are congruent. Sides G H and H K are congruent. Which congruency theorem can be used to prove that △GHL ≅ △KHJ?

Answer 1

`ASA`

1) Considering that in these triangles, there is one pair of vertical angles

∠GHL and ∠JHK and two congruent angles ∠JKH and ∠HGL,

2) We can tell that these triangles fall within the following congruence case:

`ASA`