SSS & SAS Theorem

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating that 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

State the SSS Congruence Theorem.

Back

If three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

State the SAS Congruence Theorem.

Back

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.

Front

What is the difference between SSS and SAS?

Back

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

Front

Provide an example of SSS in a triangle.

Back

If triangle ABC has sides AB = 5 cm, AC = 7 cm, and BC = 10 cm, and triangle DEF has sides DE = 5 cm, DF = 7 cm, and EF = 10 cm, then by SSS, triangle ABC is congruent to triangle DEF.

Front

Provide an example of SAS in a triangle.

Back

If triangle GHI has sides GH = 6 cm, HI = 8 cm, and angle H = 60 degrees, and triangle JKL has sides JK = 6 cm, KL = 8 cm, and angle K = 60 degrees, then by SAS, triangle GHI is congruent to triangle JKL.

Front

What is a congruence statement?

Back

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, measure the lengths of all three sides of both triangles and show that they are equal.

Front

How can you prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, measure two sides and the included angle of both triangles and show that they are equal.