Question

MEDAL TO CORRECT ANSWER WITH EXPLANATION!
which triangles could you use the HL theorem to prove that Δ1≅Δ2
a)I only
b)II and III
C)III only
D)II only

Answer 1

I - 2 Right Angles making a linear pair. These are congruent. One shared side. One marked angle. Did we use HL?

2 - 2 right angles making vertical angles. These are congruent. Two different sides marked congruent. Did we use HL?

3 - 2 Right angles making a linear pair. These are congruent. One shared side. The side opposite each right angle is marked congruent. Did we use HL?

Show your work.

Answer 2

The HL Theorem says that if you have two right triangles and you know that the hypotenuse and one leg for each triangle are congruent, then the triangles are congruent. That's true for all three diagrams, but only Diagram III shows that by marking a congruent-marker through the hypotenuse. Since III shares one of the legs

Answer 3

am i correct @tkhunny

Answer 4

Only Drawing #3 even references the Hypotenuse. Good work.