Triangle Congruence Review

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What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

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What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

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What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

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What is the Reflexive Property?

Back

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

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What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

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What is the Substitution Property?

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The Substitution Property states that if two quantities are equal, one can be substituted for the other in any expression.

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What is the definition of segment bisector?

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A segment bisector is a point, ray, line, or plane that intersects a segment at its midpoint, dividing it into two equal segments.

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How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, show that all three corresponding sides of the triangles are equal.

Front

How can you prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.