Sas and Sss and Other Triangle Congruences Prove

In the diagram, four pairs of triangles are shown. Congruent corresponding parts are labeled in each pair. Using only the information given in the diagrams, which pair of triangles can NOT be proven congruent?

• C

• D

• A

• B

If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. What postulate is being defined?

• Side-Angle-Side (SAS)

• Angle-Angle-Angle (AAA)

• Side-Side-Side (SSS)

• Hypotenuse-Leg (HL)

If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. What postulate is being defined?

• Side-Angle-Side (SAS)

• Angle-Angle-Angle (AAA)

• Side-Side-Side (SSS)

• Hypotenuse-Leg (HL)

Which of the following is a valid postulate for triangles congruence?

• SAS postulate

• AAA postulate

• SSA postulate

• SSS postulate

Which triangle congruence theorem proves the two triangles congruent?

• SAS

• SSS

• Not enough information given

To prove that ∆MWY and ∆MNL are congruent by SAS, what other information is needed?

To prove that ∆ZTU and ∆VTU are congruent by HL, what other information is needed?

Given two triangles, ∆ABC and ∆DEF, and AB ≅ DE, ∠A ≅ ∠D, and ∠B ≅ ∠E. Which method can be used to prove ∆ABC ≅ ∆DEF? (Hint: Draw and label a diagram!)

• ASA

• SAS

• HL

• SSS

Given two triangles, ∆ABC and ∆DEF, and AB ≅ DE, ∠A ≅ ∠D, and AC ≅ DF. Which method can be used to prove ∆ABC ≅ ∆DEF? (Hint: Draw and label a diagram!)

• ASA

• SAS

• HL

• SSS