Geometry - Exam Review 26-50

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method used to prove triangles are congruent when two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a method used to prove triangles are congruent when all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method used to prove triangles are congruent when two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method used to prove triangles are congruent when two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the first step in proving triangles are congruent using AAS?

Back

Identify two angles and the non-included side of one triangle that are equal to the corresponding parts of another triangle.

Front

If two triangles have two angles equal, what can be concluded about their sides?

Back

The sides opposite those angles are also equal, making the triangles congruent by AAS.

Front

How can you find the measure of an unknown side in a triangle?

Back

You can use the properties of triangle congruence, such as SSS, SAS, or AAS, or apply the Pythagorean theorem if it's a right triangle.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means all corresponding sides and angles are equal.

Front

What information is needed to prove triangles are congruent using SAS?

Back

You need two sides and the included angle of one triangle to be equal to the corresponding parts of another triangle.

Front

If two triangles are congruent by SSS, what can be said about their angles?

Back

All corresponding angles of the triangles are also equal.