Congruent Triangle practice (all theorems)

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that proves congruence specifically for right triangles.

Front

What is the AAS theorem in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which states that 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 triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which states that 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 is the SSS theorem in triangle congruence?

Back

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

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence as it can lead to ambiguous cases.

Front

How do you identify the side opposite an angle in a triangle?

Back

The side opposite an angle is the side that does not touch the angle; it is directly across from it.

Front

What is the significance of common angles in congruent triangles?

Back

Common angles in congruent triangles help establish congruence through theorems like AAS or ASA (Angle-Side-Angle).

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent based on specific criteria involving their sides and angles.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means they do not have the same shape and size; their corresponding sides and angles are not equal.