Congruence and Similarity in Triangles

Triangles that have exactly the same size and shape are called:

• Similar

• Proportional

• Corresponding

• Congruent

Triangle ABC is similar to XYZ. If angle B = 50°, what's angle Y?

• 40°

• 90°

• 130°

• 50°

Which theorem proves congruence if all sides match exactly?

• ASA

• SAS

• SSS

• HL

Two triangles have equal angles, but sides are different lengths. They are:

• Congruent

• Identical

• Similar

• Isosceles

Which congruence theorem needs two sides and the included angle?

• AAS

• SAS

• ASA

• HL

Triangle JKL is congruent to triangle RST. If JK = 5 cm, then RS equals:

• 3 cm

• 8 cm

• 5 cm

• 10 cm

AA (Angle-Angle) theorem proves triangles are:

• Congruent

• Similar

• Equilateral

• Scalene

A tree casts a 12 ft shadow. A 2 ft stick casts a 4 ft shadow. Tree height?

• 4 ft

• 6 ft

• 8 ft

• 24 ft

Hypotenuse-Leg (HL) theorem only applies to which triangles?

• Equilateral

• Acute

• Obtuse

• Right triangles

Triangle ABC is similar to triangle XYZ. Side AB is 4 cm, side XY is 12 cm. What's the scale factor?

• 3

• 4

• 5

• 6