SSS and SAS Triangle Congruence

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, 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, the triangles are congruent.

Front

What is the SSS Congruence Theorem?

Back

The SSS Congruence Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS Congruence Theorem?

Back

The SAS Congruence Theorem states that if two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, then the triangles are congruent.

Front

How can you prove two triangles are congruent using SSS?

Back

To prove two triangles are congruent using SSS, show that all three corresponding sides of the triangles are equal in length.

Front

How can you prove two triangles are congruent using SAS?

Back

To prove two triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is the importance of triangle congruence theorems?

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Triangle congruence theorems are important because they allow us to determine if two triangles are identical in shape and size, which is fundamental in geometry.

Front

Can you use SSS if only two sides are known?

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No, SSS requires all three sides to be known to prove triangle congruence.

Front

Can you use SAS if only one side and one angle are known?

Back

No, SAS requires two sides and the included angle to be known to prove triangle congruence.

Front

What is an example of using SSS?

Back

If triangle ABC has sides of lengths 5 cm, 7 cm, and 10 cm, and triangle DEF has sides of lengths 5 cm, 7 cm, and 10 cm, then by SSS, triangle ABC is congruent to triangle DEF.