Final Review: Triangle Congruence

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem 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 two triangles are congruent.

Front

What is the congruence statement for triangles ABC and DEF if the corresponding vertices are A, B, C and D, E, F?

Back

The congruence statement is ABC ≅ DEF.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning for any segment AB, AB = AB.

Front

What must be stated before using the Hypotenuse-Leg (HL) theorem?

Back

You must first state that there are right triangles.

Front

What is the statement for step 3 of a proof if you are proving triangles are congruent?

Back

AD = AD (using the Reflexive Property).

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem 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 two triangles are congruent.

Front

What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, which is used after proving triangles are congruent to show that their corresponding parts are also congruent.

Front

What is the significance of vertical angles in triangle congruence?

Back

Vertical angles are always congruent, which can be used as a reason in proofs involving triangle congruence.

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.