Sas and Sss and Other Triangle Congruences

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

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• SAS

• SSS

• Both SSS and SAS

• Not necessarily congruent

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• SAS

• SSS

• Both SSS and SAS

• Not enough info to prove congruent

To prove that ∆MWY and ∆MNL are congruent by SAS, 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

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

• ASA

• SAS

• HL

• SSS