Geometry 4-5

ASA, AAS, and HL

Vocab. Word

An included side is the common side of two consecutive angles in a polygon. (The side in between two angles)

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

Angle-Side-Angle (ASA)

Can ASA be used to determine congruency?

1)

2)

Angle-Angle-Side (AAS)

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

Can AAS be used to determine congruency?

Hypotenuse-Leg (HL) (only works for right triangles)

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

Can HL be used to determine congruency?

1)

2)