TRIANGLE CONGRUENCE POSTULATES

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used after proving two triangles are congruent to state that their corresponding parts are also congruent.

Front

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

Back

The corresponding angles of the two triangles are congruent.

Front

If triangle ABC is congruent to triangle DEF, what can be inferred about the sides of the triangles?

Back

The corresponding sides of triangle ABC and triangle DEF are congruent.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence in the SAS postulate.

Front

How can you determine if two triangles are congruent using AAS?

Back

To determine if two triangles are congruent using AAS, check if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be congruent, while AAS allows for a non-included side to be congruent.