SSS/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 are equal in both triangles, they are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the included angle in SAS?

Back

The included angle in SAS is the angle formed between the two sides being measured. It is crucial because SAS only applies when the angle is between the two sides.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

Can two triangles be congruent if only two sides are equal?

Back

No, two triangles cannot be determined as congruent with only two sides equal unless the included angle is also known (SAS). Otherwise, they may not be congruent.

Tags

CCSS.8.G.A.2

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If two triangles are not congruent, what can be said about their sides and angles?

Back

If two triangles are not congruent, at least one pair of corresponding sides or angles is not equal.

Tags

CCSS.8.G.A.2

Front

Provide an example of SSS congruence. Triangle ABC has sides 5 cm, 7 cm, and 9 cm. Triangle DEF has sides 5 cm, 7 cm, and 9 cm. Are they congruent?

Back

Yes, Triangle ABC and Triangle DEF are congruent by SSS because all three sides are equal.

Tags

CCSS.HSG.SRT.B.5

Front

Provide an example of SAS congruence. Triangle GHI has sides 4 cm, 6 cm, and an included angle of 60 degrees. Triangle JKL has sides 4 cm, 6 cm, and an included angle of 60 degrees. Are they congruent?

Back

Yes, Triangle GHI and Triangle JKL are congruent by SAS because two sides and the included angle are equal.

Tags

CCSS.HSG.SRT.B.5