Triangle Congruence Theorems: AAS and HL Explained

What are the labels given to the first triangle?

• D, E, F

• P, Q, R

• X, Y, Z

• A, B, C

How many arcs are marked on side 'B' of the first triangle?

• Two

• None

• Three

• One

Which angle is marked with one arc in the first triangle?

• Angle D

• Angle C

• Angle B

• Angle A

What is the order of the angles in the congruency statement for triangle ABC?

• A, B, C

• B, A, C

• C, B, A

• A, C, B

What is the key requirement for the hypotenuse-leg (HL) theorem?

• It must be a scalene triangle

• It must be an equilateral triangle

• It must be a right triangle

• It must be an isosceles triangle

Which side is the hypotenuse in a right triangle?

• The shortest side

• The longest side

• The side adjacent to the right angle

• The side opposite the right angle

What is the hypotenuse in the second triangle?

• EF

• None of the above

• DF

• DE

What must be true for two triangles to be congruent under the HL theorem?

• 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

In the congruency statement for the right triangles, which triangle is congruent to triangle BCA?

• Triangle DEF

• Triangle FDC

• Triangle FDE

• Triangle EFD

Which theorem is applicable only to right triangles?

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

• Hypotenuse-Leg (HL)

• Side-Angle-Side (SAS)