Triangle Congruence Theorems: AAS and HL Explained

D, E, F

P, Q, R

X, Y, Z

A, B, C

Two

None

Three

One

Angle D

Angle C

Angle B

Angle A

A, B, C

B, A, C

C, B, A

A, C, B

It must be a scalene triangle

It must be an equilateral triangle

It must be a right triangle

It must be an isosceles triangle

The shortest side

The longest side

The side adjacent to the right angle

The side opposite the right angle

EF

None of the above

DF

DE

Only one leg must be the same

Only the hypotenuses must be the same

Both hypotenuses and both legs must be the same

Both hypotenuses and one leg must be the same

Triangle DEF

Triangle FDC

Triangle FDE

Triangle EFD

Angle-Angle-Side (AAS)

Angle-Side-Angle (ASA)

Hypotenuse-Leg (HL)

Side-Angle-Side (SAS)