Triangle Congruence Test Review

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What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

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What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangle congruence where two angles and a non-included side are known.

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What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangle congruence where two sides and the included angle are known.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangle congruence where two angles and the included side are known.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, e.g., AB = AB.

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What is the Transitive Property?

Back

The Transitive Property states that if one quantity equals a second quantity, and the second quantity equals a third, then the first quantity equals the third.

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What is the SSS congruence criterion?

Back

SSS stands for Side-Side-Side, a method to prove triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What is SSA in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence and is often referred to as the 'Ambiguous Case'.

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What is a congruent triangle?

Back

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

Front

How do you determine if two triangles are congruent?

Back

To determine if two triangles are congruent, use congruence criteria such as AAS, SAS, ASA, or SSS.