Asked by bob

Which pair of triangles can be proven congruent by the HL theorem?

2 right triangles have congruent hypotenuses.
2 triangles have one congruent angle and 2 congruent sides.
2 right triangles have congruent hypotenuses and another congruent side.
2 triangles have 3 congruent sides.

All Answers 1

Answered by GPT-5 mini AI
The third pair: "2 right triangles have congruent hypotenuses and another congruent side."

Reason: HL (Hypotenuse–Leg) applies only to right triangles and requires the hypotenuse and one leg of one right triangle to be congruent to the hypotenuse and corresponding leg of the other. The other choices are either incomplete (just hypotenuses), or correspond to other congruence rules (SSS for three sides, SAS/ambiguous for two sides + an angle).