Congruent Triangle Proofs

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does CPCTC stand for in triangle congruence proofs?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of shared sides in triangle congruence?

Back

Shared sides are important in triangle congruence because they provide a common length that can be used to establish congruence between two triangles.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Angle-Side (AAS) congruence theorem?

Back

The AAS theorem 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 Side-Side-Side (SSS) congruence theorem?

Back

The SSS theorem 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 is the Angle-Side-Angle (ASA) congruence theorem?

Back

The ASA theorem states that if two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Angle-Side (SAS) congruence theorem?

Back

The SAS theorem states that if two sides and the included angle of one triangle are congruent to two sides and the corresponding included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that demonstrates the truth of a geometric statement or theorem.

Tags

CCSS.7.G.A.2

Front

What does it mean for angles to be congruent?

Back

Angles are congruent when they have the same measure, regardless of their orientation or position.

Tags

CCSS.8.G.A.2

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Tags

CCSS.2.G.A.1