Answer
Theorem 4-6 Hypotenuse-Leg (HL) Theorem - 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.
Postulate 4-2 Side-Angle-Side (SAS) Postulate - 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.
Similarities: they both use 2 sides and 1 angle to prove congruence.
Differences: HL Theorem requires a right triangle and hypotenuse side to prove congruence. SAS uses any 2 adjacent sides with an included angle between the sides to prove congruence.
Work Step by Step
Theorem 4-6 Hypotenuse-Leg (HL) Theorem - 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.
Postulate 4-2 Side-Angle-Side (SAS) Postulate - 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.
Similarities: they both use 2 sides and 1 angle to prove congruence.
Differences: HL Theorem requires a right triangle and hypotenuse side to prove congruence. SAS uses any 2 adjacent sides with an included angle between the sides to prove congruence.
