# What does La theorem prove?

Table of Contents

## What does La theorem prove?

Leg Acute Angle or LA Theorem is the theorem which can be used to prove the congruence of two right triangles. Explanation : If a leg and an acute angle of one right triangle are congruent to the corresponding parts of another right triangle, then the two right triangles are congruent.

## For which triangle congruence theorem is HL a special case?

The two sides that form the sides of the right angle are the legs. You have learned four ways to prove that triangles are congruent. The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent.

## What does LA mean in geometry?

Lateral Area

## What are the congruence theorems for right triangles?

Right Triangle Congruence

- Leg-Leg Congruence. If the legs of a right triangle are congruent to the corresponding legs of another right triangle, then the triangles are congruent.
- Hypotenuse-Angle Congruence.
- Leg-Angle Congruence.
- Hypotenuse-Leg Congruence.

## What is known about two triangles if you have SSA?

What is known about two triangles if you have SSA (two pairs of sides are congruent, andone pair of non-included angles is congruent)? A. The two triangles are guaranteed to be congruent. none of the aboveExplanation: Knowing SSA, there is no guarantee that the triangles are congruent.

## Why does SSA work in right triangles?

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 does it mean for 2 triangles to be congruent?

Two triangles are congruent if they meet one of the following criteria. SSS. : All three pairs of corresponding sides are equal. SAS. : Two pairs of corresponding sides and the corresponding angles between them are equal.