Congruent Triangle Proofs

Front

What is a congruent triangle?

Back

A triangle that is identical in shape and size to another triangle, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Reflexive Property?

Back

Tags

CCSS.HSG.SRT.B.5

Front

What is the Midpoint Theorem?

Back

The Midpoint Theorem states that if a point is the midpoint of a segment, then it divides the segment into two equal parts.

Tags

CCSS.HSG.GPE.B.6

Front

What is the SSS Congruence Postulate?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence Postulate 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Theorem 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL Congruence Theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that vertical angles are congruent, meaning if two angles are opposite each other when two lines intersect, they are equal.

Tags

CCSS.HSG.CO.C.9

Front

What is the definition of a midpoint?

Back

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

Tags

CCSS.HSG.CO.A.1