SSS Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a criterion for triangle congruence 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 SSS Triangle Congruence Theorem?

Back

The SSS Triangle 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

If AC = 15, AB = 7, and BC = 3, can we determine XY?

Back

Not enough information to get the answer.

Front

Can two triangles with sides 5, 12, and 13 be proven congruent by SSS?

Back

Yes, if another triangle has sides 5, 12, and 13, they are congruent by SSS.

Front

What is required to prove triangles congruent by SSS?

Back

You need to know the lengths of all three sides of both triangles.

Front

If two triangles have sides of lengths 8, 15, and 17, are they congruent?

Back

Yes, if another triangle has sides of lengths 8, 15, and 17, they are congruent by SSS.

Front

Can the triangle be proven congruent by SSS if only two sides are known?

Back

No, not enough information.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

If triangle ABC has sides 6, 8, and 10, and triangle DEF has sides 6, 8, and 10, are they congruent?

Back

Yes, they are congruent by SSS.

Front

What is the importance of the SSS criterion in geometry?

Back

The SSS criterion is important because it provides a method to prove that two triangles are congruent without needing to know the angles.