Triangle Congruency

Front

What is Triangle Congruency?

Back

Triangle congruency refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does Side-Angle-Side (SAS) congruence mean?

Back

SAS congruence 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 does Angle-Side-Angle (ASA) congruence mean?

Back

ASA congruence 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 does Side-Side-Side (SSS) congruence mean?

Back

SSS congruence states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the importance of congruency in triangles?

Back

Congruency helps in proving that two triangles are identical, which is essential in various geometric proofs and real-world applications.

Tags

CCSS.8.G.A.2

Front

What information is needed to prove triangles are congruent by SAS?

Back

You need two sides and the angle between them to be equal in both triangles.

Tags

CCSS.HSG.SRT.B.5

Front

What information is needed to prove triangles are congruent by ASA?

Back

You need two angles and the side between them to be equal in both triangles.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the included angle in SAS and ASA?

Back

The included angle is the angle formed between the two sides in SAS and the angle between the two sides in ASA, which is crucial for establishing congruency.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

Measure all three sides of both triangles; if all corresponding sides are equal, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2