SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, 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 criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

To determine if two triangles are congruent using SSS, measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

To determine if two triangles are congruent using SAS, measure two sides and the included angle of both triangles. If the two sides and the angle between them are equal, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the order of letters in a congruency statement?

Back

Tags

CCSS.HSG.CO.B.7

Front

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

Back

No, two triangles cannot be congruent if only one side is equal. At least two sides and the included angle must be equal (SAS) or all three sides must be equal (SSS) for congruence.

Tags

CCSS.8.G.A.2

Front

What does it mean if two triangles are 'Not Necessarily Congruent'?

Back

'Not Necessarily Congruent' means that the triangles may not be congruent based on the given information. For example, knowing only one side length does not guarantee congruence.

Tags

CCSS.8.G.A.2

Front

If two triangles have two equal sides and a non-included angle, are they congruent?

Back

No, if two triangles have two equal sides and a non-included angle, they are not necessarily congruent. This is known as the SSA (Side-Side-Angle) condition, which does not guarantee congruence.

Tags

CCSS.8.G.A.2

Front

What is an example of a congruency statement using SAS?

Back

Tags

CCSS.HSG.SRT.B.5

Front

What is an example of a congruency statement using SSS?

Back

Tags

CCSS.HSG.SRT.B.5