RIGHT TRIANGLE CONGRUENCE THEOREMS

Front

What does the HyL theorem state?

Back

The Hypotenuse-Leg (HyL) theorem states that if the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What does the HyA theorem state?

Back

The Hypotenuse-Angle (HyA) theorem states that if the hypotenuse and one acute angle of one right triangle are congruent to the hypotenuse and one acute angle of another right triangle, then the two triangles are congruent.

Front

What does the LA theorem state?

Back

The Leg-Angle (LA) theorem states that if one leg and one acute angle of one right triangle are congruent to one leg and one acute angle of another right triangle, then the two triangles are congruent.

Front

What does the LL theorem state?

Back

The Leg-Leg (LL) theorem states that if the legs of one right triangle are congruent to the legs of another right triangle, then the two triangles are congruent.

Front

What are the corresponding parts of congruent triangles?

Back

The corresponding parts of congruent triangles include their sides and angles, which are equal in measure.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle.

Front

How can you prove two right triangles are congruent?

Back

You can prove two right triangles are congruent using the HyL, HyA, LA, or LL theorems.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the two acute angles is always 90 degrees.