What does La theorem prove?

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.