#### Transcript of CONGRUENCE THEOREMS

**CONGRUENCE THEOREMS**

LA Congruence Theorem

(Leg-Acute angle)

It states if a leg and an acute angle of one right triangle are congruent to the corresponding parts of another right triangle, the two right triangles are congruent.

HyL Congruence Theorem

(Hypotenuse-Leg)

It states if the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, the two triangles are congruent.

HyA Congruence Theorem

The Hypotenuse-Leg Postulate is a rule that you can use with right triangles only and also the HyL Theorem. This rule is considered a postulate because it is not based on any other rules

**Here are some theorems with illustrative examples**

Segment KL is congruent to segment MN

Isosceles Triangle Theorem

An isosceles triangle has two congruent sides called legs and a third side called the base. The vertex angle is the angle included by the legs. The other two angles are called base angles. The base angles are congruent.

LL Congruence Theorem

It states if the legs of one right triangle are congruent to the legs of another right triangle, the two right triangles are congruent.

It states 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.

If two sides of a triangle are congruent, then the angles opposite these sides are congruent.

Prepared By:

Group 5

G8-Jose Rizal

Mrs. Gina Catapang

Full transcript