Triangle Congruence Proofs

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are considered congruent if their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does SSS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence stating 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, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used after proving two triangles are congruent to state that their corresponding parts are also congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Reflexive Property in triangle congruence?

Back

The Reflexive Property states that any geometric figure is congruent to itself, which is often used in proofs involving triangles.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Vertical Angle Theorem?

Back

The Vertical Angle Theorem states that opposite angles formed by two intersecting lines are equal.

Tags

CCSS.8.G.A.5

Front

What is the Midpoint Theorem?

Back

The Midpoint Theorem states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Tags

CCSS.HSG.SRT.B.4