Proving Triangles Congruent

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangles congruent by showing two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangles congruent by showing two angles and the included side of one triangle are congruent to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangles congruent by showing two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used after proving triangles congruent to show that their corresponding parts are also congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What information is needed to prove triangles congruent using AAS?

Back

To prove triangles congruent using AAS, you need two angles and a non-included side to be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What information is needed to prove triangles congruent using ASA?

Back

To prove triangles congruent using ASA, you need two angles and the included side to be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What information is needed to prove triangles congruent using SAS?

Back

To prove triangles congruent using SAS, you need two sides and the included angle to be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Can triangles be proven congruent if only one angle and one side are known?

Back

No, you need at least two angles and one side (AAS or ASA) or two sides and the included angle (SAS) to prove triangles congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they have the same size and shape, allowing for the transfer of properties and measurements between them.

Tags

CCSS.8.G.A.2

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

To determine if two triangles are congruent using the SSS criterion, you must show that all three sides of one triangle are congruent to the three sides of the other triangle.

Tags

CCSS.HSG.SRT.B.5