Recognize Congruent Triangle Shortcuts

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL theorem in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that states 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning if triangle ABC is considered, then ABC ≅ ABC.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of bisect?

Back

To bisect means to divide something into two equal parts, often referring to angles or segments.

Front

What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used to prove that corresponding angles and sides of congruent triangles are also congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that if a point lies on the bisector of an angle, it is equidistant from the sides of the angle.

Tags

CCSS.HSG.CO.C.9

Front

What is the significance of 'Given' in a proof?

Back

'Given' refers to the information that is provided in a problem or proof, which serves as the starting point for reasoning.