Triangle Congruence - Review on Test Day

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent to all three sides of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence specifically for right triangles, where the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of another triangle.

Front

Can two triangles be congruent if only two sides are known?

Back

Not necessarily; two sides and the included angle (SAS) or two angles and the included side (AAS) are needed for congruence.

Front

If ∆ABC ≅ ∆XYZ, what can be concluded about the sides?

Back

AB ≅ XY, BC ≅ YZ, and AC ≅ XZ.

Front

What is the significance of the congruence symbol (≅)?

Back

The congruence symbol (≅) indicates that two geometric figures are congruent, meaning they have the same shape and size.

Front

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

Back

All corresponding angles of congruent triangles are equal.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles have the same size and shape, while similar triangles have the same shape but may differ in size.