Triangle Congruence Quiz

Which of the following criteria is sufficient to prove that two triangles are congruent by the SSS criterion?

• All three pairs of sides are equal in length.

• Two sides and the included angle are equal.

• Two angles and one side are equal.

• One side and two angles are equal.

If two triangles have two pairs of sides and the included angle equal, they are congruent by the SAS criterion.

• True

• False

Which of the following is NOT a requirement for the SAS triangle congruence criterion?

• The two triangles have a pair of congruent angles.

• The two triangles have two congruent sides.

• The congruent angle must be included between the congruent sides.

• The triangles must have three pairs of congruent sides.

The SAS postulate requires that the angle must be between the two sides for the triangles to be congruent.

• True

• False

Explain why the following set of side and angle pairs does NOT meet the SAS criterion: AB = DE, AC = DF, and ∠B = ∠E.

Which of the following statements is true about triangles congruent by SSS?

• They have the same perimeter.

• They have only two pairs of sides equal.

• They have only one pair of angles equal.

• They are similar but not congruent.

Two triangles, ∆ABC and ∆DEF, are congruent by SAS. If AB = DE, AC = DF, and ∠A = ∠D, which side pairs are congruent?

• AB and AC, BC and EF

• AB and DE, AC and DF

• AB and EF, AC and DE

• AB and DF, AC and DE

Two triangles that meet the SSS criterion will have all corresponding angles congruent.

• True

• False

• A
• B
• C
• D

• SAS
• None
• SSS
• ASA