Unit 2 Theorem and Postulate (Part 2)

Question 1

Side-Side-Side Postulate (SSS)

Answer 1

If three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Question 2

Side-Angle-Side Postulate (SAS)

Answer 2

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

Question 3

Angle-Side-Angle Postulate (ASA)

Answer 3

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

Question 4

Angle-Angle-Side Theorem (AAS)

Answer 4

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

Question 5

Hypotenuse-Leg Theorem (HL)

Answer 5

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