Definitions, Postulates, Theorems, and Properties in Geometry

It states that the triangles are congruent if two angles and the included side are congruent to the corresponding two angles and the included side of the other triangle.

• AAS Congruence Postulate

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

Tags

CCSS.HSG.SRT.B.5

It states that the triangles are congruent if two sides and the included angle of the triangle are congruent to the corresponding two sides and the included angle of the other triangle.

• AAS Congruence Postulate

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

Tags

CCSS.HSG.SRT.B.5

It states that the two triangles are congruent if the three sides of the triangle are congruent to the corresponding three sides of the other triangle.

• AAS Congruence Postulate

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

Tags

CCSS.HSG.SRT.B.5

It states that an angle, line segment, or shape is always congruent to itself.

• Transitive Property of Congruence

• Symmetric Property of Congruence

• Reflexive Property of Congruence

• Linear Property of Congruence

Tags

CCSS.8.G.A.2

It states that if a geometric figure is congruent to another, then we can say that the second figure is congruent to the first.

• Transitive Property of Congruence

• Symmetric Property of Congruence

• Reflexive Property of Congruence

• Linear Property of Congruence

Tags

CCSS.HSG.SRT.B.5

Refers to a line that splits an angle into two equal angles.

• Definition of Angle Bisector

• Definition of Perpendicular Bisector

• Definition of Line Segment Bisector

• Definition of Triangle Bisector

Tags

CCSS.7.G.B.5