Proving and Applying the SAS and SSS Congruence Criteria

Which of the following pairs are congruent by SAS?

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Which theorem shows that Triangle ABC is congruent to Triangle DEF?

• The triangles are not congruent.

• SAS Triangle Congruence Theorem

• Isosceles Triangle Theorem

• SSS Triangle Congruence Theorem

In the figure shown, what additional information is needed to show that Triangle ABC is Congruent to Triangle DEF by SSS?

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What are the necessary conditions to apply the SAS Triangle Congruence Theorem?

• One angle and two sides of one triangle are congruent to the corresponding parts of another triangle.

• Two angles and the included side of one triangle are congruent to the corresponding parts of another triangle.

• Two sides and any angle of one triangle are congruent to the corresponding parts of another triangle.

• An angle and the two sides collinear with the angle's rays are congruent to the corresponding parts of another triangle.

What value of x will make the triangles congruent by SSS?

• 4

• 19

• 13

• 23