Triangle Congruency Proofs

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, in triangle ABC, side AB is congruent to side AB.

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What does the Definition of Midpoint state?

Back

The Definition of Midpoint states that a midpoint of a segment is the point that divides the segment into two equal parts.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are congruent.

Front

What is the statement for step 2 of a proof if AD=AD?

Back

The statement is AD=AD, which is an example of the Reflexive Property.

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What is the CPCTC Theorem?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to prove that corresponding sides and angles of congruent triangles are equal.

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What does SSS Congruence mean?

Back

SSS Congruence states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

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What does SAS Congruence mean?

Back

SAS Congruence states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

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What does ASA Congruence mean?

Back

ASA Congruence states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

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What does AAS Congruence mean?

Back

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

Front

What does HL Congruence mean?

Back

HL Congruence (Hypotenuse-Leg) states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.