Triangle Congruence

Front

What does the SSS Postulate state?

Back

If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the SAS Postulate state?

Back

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the ASA Postulate state?

Back

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the AAS Theorem state?

Back

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 two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What is the difference between the ASA Postulate and the AAS Theorem?

Back

ASA requires the included side to be congruent, while AAS does not require the side to be included between the two angles.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only one angle is known?

Back

No, knowing only one angle is not sufficient to determine triangle congruence.

Tags

CCSS.8.G.A.2

Front

What is the significance of the included angle in the SAS Postulate?

Back

The included angle is the angle between the two sides being compared, which is crucial for establishing congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What is an example of using the SSS Postulate?

Back

If Triangle ABC has sides of lengths 5 cm, 7 cm, and 9 cm, and Triangle DEF has sides of lengths 5 cm, 7 cm, and 9 cm, then Triangle ABC is congruent to Triangle DEF by SSS.

Tags

CCSS.HSG.SRT.B.5

Front

What is an example of using the ASA Postulate?

Back

If Triangle GHI has angles of 30° and 60° and the included side is 10 cm, and Triangle JKL has angles of 30° and 60° with the same included side of 10 cm, then Triangle GHI is congruent to Triangle JKL by ASA.

Tags

CCSS.HSG.SRT.B.5