Geo - Unit 5.4 HW - Proving Triangles

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangles are congruent by showing two angles and a non-included side are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangles are congruent by showing all three sides are equal.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangles are congruent by showing two angles and the included side are equal.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a method to prove right triangles are congruent by showing the hypotenuse and one leg are equal.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How can you prove triangles are congruent using AAS?

Back

To prove triangles are congruent using AAS, show that two angles are equal and the side opposite one of those angles is equal.

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, show that all three sides of one triangle are equal to the three sides of another triangle.

Front

How can you prove triangles are congruent using ASA?

Back

To prove triangles are congruent using ASA, show that two angles are equal and the side between those angles is equal.

Front

How can you prove triangles are congruent using HL?

Back

To prove triangles are congruent using HL, show that the hypotenuse and one leg of a right triangle are equal to the hypotenuse and leg of another right triangle.

Front

What is the significance of triangle congruence in geometry?

Back

Triangle congruence is significant because it allows us to establish that two triangles are identical in shape and size, which is fundamental in solving geometric problems.