Proving Triangles are Congruent

Question 1

Side-Side-Side (SSS) Postulate

Answer 1

If 3 sides of 1 triangle are congruent to the 3 sides of another triangle, then the 2 triangles are congruent

Question 2

Side-Angle-Side (SAS) Postulate

Answer 2

If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent

Question 3

Hypotenuse-Leg (HL) Theorem

Answer 3

If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the 2 triangles are congruent

Question 4

Angle-Side-Angle (ASA) Postulate

Answer 4

If 2 sides and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent

Question 5

Angle-Angle-Side (AAS) Theorem

Answer 5

If 2 angles and a non included side of one triangle are congruent to 2 angles and the corresponding non included side of another triangle, then the triangles are congruent

Question 6

Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

Answer 6

once you have proven that 2 triangles are congruent, you can then concluded that any of their corresponding parts are congruent by the definition of congruent triangles