Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If ∆LMK ≅ ∆LMT, what can be inferred about the angles K and T?

Back

If ∆LMK ≅ ∆LMT, then ∠K ≅ ∠T.

Tags

CCSS.HSG.CO.B.7

Front

What is the definition of CPCTC in the context of triangle congruence?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent,' which means that if two triangles are congruent, then all their corresponding angles and sides are also congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Third Angles Theorem?

Back

The Third Angles Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.

Tags

CCSS.HSG.CO.B.7

Front

How can you determine if two triangles are congruent using side lengths?

Back

You can determine if two triangles are congruent by using the SSS (Side-Side-Side) Congruence Postulate, which states 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 is the SAS Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence Postulate states that if two sides and the included angle of one triangle are equal 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 Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence Postulate states that if two angles and the included side of one triangle are equal 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 Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Congruence Theorem states 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, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of congruency statements in geometry?

Back

Congruency statements provide a way to express that two geometric figures are congruent, allowing for the comparison of corresponding parts and the application of congruence theorems.

Tags

CCSS.HSG.SRT.B.5

Front

How do you write a congruency statement for two triangles?

Back

A congruency statement is written by listing the vertices of the triangles in corresponding order, such as ∆ABC ≅ ∆XYZ, where A corresponds to X, B to Y, and C to Z.

Tags

CCSS.HSG.CO.B.7