Triangle Congruence

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What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

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What does SSA stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a valid criterion for proving triangle congruence.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a valid criterion for proving triangle congruence.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a valid criterion for proving triangle congruence.

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What is the AAS postulate?

Back

AAS stands for Angle-Angle-Side, which is a valid criterion for proving triangle congruence.

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What is the HL postulate?

Back

HL stands for Hypotenuse-Leg, a criterion specifically for proving the congruence of right triangles.

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What is the AAA criterion?

Back

AAA stands for Angle-Angle-Angle, which does not prove triangle congruence as it only shows similarity.

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What is a congruence statement?

Back

A congruence statement expresses that two triangles are congruent, such as ΔABC ≅ ΔDEF.

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How do you determine if two triangles are congruent using SAS?

Back

To use SAS, you need to show that two sides and the angle between them in one triangle are equal to the corresponding parts in the other triangle.