Triangle Congruence

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 the Reflexive Property of Congruence state?

Back

Front

What is the SAS Postulate?

Back

The SAS (Side-Angle-Side) Postulate 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA Postulate?

Back

The ASA (Angle-Side-Angle) Postulate 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS Postulate?

Back

The AAS (Angle-Angle-Side) Postulate 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS Postulate?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does CPCTC stand for?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruence in geometry?

Back

In geometry, congruence means that two figures have the same shape and size, which can be shown through rigid transformations such as translation, rotation, and reflection.

Tags

CCSS.8.G.A.2

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.

Tags

CCSS.HSG.CO.C.9

Front

How do you determine if two triangles are congruent using the Reflexive Property?

Back

If two triangles share a side or angle, that side or angle is congruent to itself, allowing for the use of the Reflexive Property in proving triangle congruence.

Tags

CCSS.HSG.SRT.B.5