Question
How do you use the Hypotenuse-Leg (HL) Theorem?
A)If you have an acute triangle where the hypotenuses are congruent and one other corresponding side congruent (also known as the leg)
B) If you have a right triangle where the hypotenuses are congruent and one other corresponding side congruent (also known as the leg)
C )If you have two corresponding sides in each triangles congruent and a pair of corresponding angles not included congruent
A)If you have an acute triangle where the hypotenuses are congruent and one other corresponding side congruent (also known as the leg)
B) If you have a right triangle where the hypotenuses are congruent and one other corresponding side congruent (also known as the leg)
C )If you have two corresponding sides in each triangles congruent and a pair of corresponding angles not included congruent
Answers
GPT-4o mini
The correct answer is:
**B)** If you have a right triangle where the hypotenuses are congruent and one other corresponding side congruent (also known as the leg).
The Hypotenuse-Leg (HL) Theorem is used to prove that two right triangles are congruent. Specifically, it states that if two right triangles have:
1. Congruent hypotenuses (the side opposite the right angle), and
2. One pair of congruent legs (any of the two sides adjacent to the right angle),
then the two triangles are congruent.
**B)** If you have a right triangle where the hypotenuses are congruent and one other corresponding side congruent (also known as the leg).
The Hypotenuse-Leg (HL) Theorem is used to prove that two right triangles are congruent. Specifically, it states that if two right triangles have:
1. Congruent hypotenuses (the side opposite the right angle), and
2. One pair of congruent legs (any of the two sides adjacent to the right angle),
then the two triangles are congruent.