SSS & SAS

Front

What does SSS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS Congruence Theorem?

Back

The SAS Congruence Theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle between those sides is also congruent, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

To determine if two triangles are congruent using the SSS postulate, check if all three sides of one triangle are equal to the corresponding three sides of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between SAS and ASA?

Back

SAS (Side-Angle-Side) requires two sides and the included angle to be congruent, while ASA (Angle-Side-Angle) requires two angles and the included side to be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA Congruence Theorem?

Back

The ASA Congruence Theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

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 prove triangle congruence; additional information about sides or other angles is needed.

Tags

CCSS.8.G.A.2

Front

What is the importance of the included angle in SAS?

Back

The included angle in SAS is crucial because it is the angle formed between the two sides being compared; without it, the triangles may not be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of congruent sides and one pair of non-included angles, are they congruent?

Back

No, they are not necessarily congruent because the angle must be included between the two sides for SAS to apply.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for angles to be congruent?

Back

Congruent angles have the same measure, meaning they are equal in degrees.

Tags

CCSS.8.G.A.2