What does HL mean in triangle proofs? Hypotenuse-Leg-Right angle The HLR (Hypotenuse-Leg-Right angle) theorem — often called the HL theorem — states that if the hypotenuse and a leg of one right triangle are congruent

## What does HL mean in triangle proofs?

Hypotenuse-Leg-Right angle

The HLR (Hypotenuse-Leg-Right angle) theorem — often called the HL theorem — states that if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent. The following figure shows you an example.

## How do you know if a triangle is HL?

The HL Theorem states; If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent. Of course you can’t, because the hypotenuse of a right triangle is always (always!) opposite the right angle.

**What does HL look like in geometry?**

Congruent Triangles – Hypotenuse and leg of a right triangle. (HL) Definition: Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. If, in two right triangles the hypotenuse and one leg are equal, then the triangles are congruent.

**What does HL theorem stand for?**

hypotenuse leg theorem

The hypotenuse leg theorem is a criterion used to prove whether a given set of right triangles are congruent. The hypotenuse leg (HL) theorem states that; a given set of triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.

### What is an HL triangle?

Hypotenuse-Leg (HL) Triangle Congruence Theorem If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent. Example 1.

### What is special about HL?

They hypotenuse leg (HL) theorem for right triangles states that if the hypotenuse and one leg of one right triangle have the same lengths as the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

**What is a HL triangle?**

What is the HL Postulate? The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

**How do you prove HL?**

Hypotenuse Leg Theorem Proof The proof of the hypotenuse leg theorem shows how a given set of right triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal. Observe the following isosceles triangle ABC in which side AB = AC and AD is perpendicular to BC.

#### How do you use HL?

Hypotenuse-Leg (HL) for Right Triangles. There is one case where SSA is valid, and that is when the angles are right angles. Using words: In words, if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.

#### What is special about a triangle?

The angles inside the triangle are also important. The sum of the angles is always 180°. Triangles are special because they are exceptionally strong. Out of all the two-dimensional shapes we can make out of straight struts of metal, only a triangle is rigid.