Triangle Proofs Flashcard

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 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 AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side 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 is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is NOT a valid criterion for proving triangle congruence.

Front

What is the HL theorem in triangle congruence?

Back

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

Front

What is the significance of congruent angles in triangles?

Back

Congruent angles in triangles indicate that the triangles may be similar or congruent, depending on the sides' relationships.

Front

What is the significance of congruent sides in triangles?

Back

Congruent sides in triangles indicate that the triangles may be congruent, as congruence requires all corresponding sides to be equal.

Front

What is the first step in proving triangles congruent?

Back

Identify and mark the congruent parts (sides or angles) of the triangles based on given information.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles have the same size and shape (all corresponding sides and angles are equal), while similar triangles have the same shape but not necessarily the same size (corresponding angles are equal, and sides are proportional).