Triangle Congruence - Geometry

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does HA stand for in triangle congruence?

Back

HA stands for Hypotenuse-Angle, a method to prove triangle congruence specifically for right triangles, where the hypotenuse and one angle of one triangle are equal to the hypotenuse and one angle of another triangle.

Front

What does LL stand for in triangle congruence?

Back

LL stands for Leg-Leg, a method to prove triangle congruence specifically for right triangles, where both legs of one triangle are equal to both legs of another triangle.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What additional information is needed to prove triangles are congruent by AAS?

Back

You need to know two angles and the length of one side of one triangle to prove congruence using AAS.

Front

What additional information is needed to prove triangles are congruent by SSS?

Back

You need to know the lengths of all three sides of one triangle to prove congruence using SSS.

Front

What is the significance of the included angle in AAS?

Back

The included angle in AAS is the angle between the two known sides, which helps establish the congruence of the triangles.

Front

How can you determine if two triangles are congruent using the SSS method?

Back

Measure the lengths of all three sides of both triangles; if all three pairs of corresponding sides are equal, the triangles are congruent.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.