SSS, SAS, ASA, AAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side'. It is a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side'. It is a postulate that states if two sides and the included angle of one triangle are equal 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 ASA stand for in triangle congruence?

Back

ASA stands for 'Angle-Side-Angle'. It is a postulate that states if two angles and the included side of one triangle are equal 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 AAS stand for in triangle congruence?

Back

AAS stands for 'Angle-Angle-Side'. It is a postulate that states 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 two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

No, two triangles cannot be proven congruent with only one side known. More information is needed.

Tags

CCSS.8.G.A.2

Front

If two triangles have two sides and the included angle equal, what postulate can be used to prove congruence?

Back

The SAS postulate can be used to prove congruence.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles and the non-included side equal, what postulate can be used to prove congruence?

Back

The AAS postulate can be used to prove congruence.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

The included angle is the angle formed between the two sides being compared. It is crucial for establishing congruence.

Tags

CCSS.HSG.SRT.B.5

Front

Can triangles be proven congruent with the information: two angles and a side not between them?

Back

Yes, this can be proven using the AAS postulate.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between ASA and AAS postulates?

Back

Both ASA and AAS can be used to prove triangle congruence, but they differ in the position of the side relative to the angles.

Tags

CCSS.HSG.SRT.B.5