Triangle Congruence Practice

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 equal to two sides and the included angle of another triangle.

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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 equal to two angles and the corresponding non-included side 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 equal 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 applicable to right triangles, where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What does AAA stand for in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

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What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used to prove that corresponding sides and angles of congruent triangles are equal.

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Can SSA prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

What is the difference between congruent and similar triangles?

Back

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

Front

What is the significance of the included angle in triangle congruence?

Back

The included angle is crucial in criteria like SAS and ASA, as it directly connects the two sides or angles being compared.

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems help determine whether two triangles are congruent based on specific criteria involving their sides and angles.