Ch 5 Review Triangle Congruence Proofs

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What is HL Congruence?

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HL Congruence (Hypotenuse-Leg) is a method for proving the congruence of two right triangles. It states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

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What does the Reflexive Property state?

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The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

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What is CPCTC?

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CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to show that if two triangles are proven to be congruent, then all their corresponding sides and angles are also congruent.

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What is SSS Congruence?

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SSS Congruence (Side-Side-Side) states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

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What is SAS Congruence?

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SAS Congruence (Side-Angle-Side) states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

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What is ASA Congruence?

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ASA Congruence (Angle-Side-Angle) states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

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What is AAS Congruence?

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AAS Congruence (Angle-Angle-Side) states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

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What is the Definition of Perpendicular?

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Two lines or segments are perpendicular if they intersect to form a right angle (90 degrees).

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What is the Definition of Right Angles?

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A right angle is an angle that measures exactly 90 degrees.

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What is the Definition of Congruence?

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Congruence in geometry means that two figures have the same shape and size. Congruent figures can be superimposed on each other.