SAS, SSS

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.

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.

Front

What is the SAS postulate used for?

Back

The SAS postulate is used to prove that two triangles are congruent when two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle.

Front

What is the SSS postulate used for?

Back

The SSS postulate is used to prove that two triangles are congruent when all three sides of one triangle are equal to all three sides of another triangle.

Front

If two triangles have two sides of equal length and the included angle is also equal, what can be concluded?

Back

The two triangles are congruent by the SAS postulate.

Front

If two triangles have all three sides of equal length, what can be concluded?

Back

The two triangles are congruent by the SSS postulate.

Front

What is the difference between SAS and SSS?

Back

SAS requires two sides and the included angle to be equal, while SSS requires all three sides to be equal.

Front

Can two triangles be congruent if only two angles are known to be equal?

Back

No, two triangles cannot be proven congruent with only two angles known; additional information about sides or the included angle is needed.

Front

What is an example of a triangle congruence problem using SAS?

Back

Given triangle ABC with AB = 5 cm, AC = 7 cm, and angle A = 60 degrees, and triangle DEF with DE = 5 cm, DF = 7 cm, and angle D = 60 degrees, triangles ABC and DEF are congruent by SAS.

Front

What is an example of a triangle congruence problem using SSS?

Back

Given triangle GHI with GH = 4 cm, HI = 5 cm, GI = 6 cm, and triangle JKL with JK = 4 cm, KL = 5 cm, JL = 6 cm, triangles GHI and JKL are congruent by SSS.