Triangle Similarity and Proportional Relationships Quiz

Test your knowledge on similar triangles. Identify corresponding angles, sides, and explore proportional relationships. Try it now!

#1

In triangle ABC, angle A measures 40°, angle B measures 60°. What is the measure of angle C in degrees?

30°
40°
50°
60°
#2

If two triangles are similar, what can you say about their corresponding angles?

They are equal in measure
They are congruent
They have the same ratio
None of the above
#3

In triangle PQR, angle P measures 50°, and angle Q measures 70°. What is the measure of angle R in degrees?

40°
60°
80°
110°
#4

In triangle ABC, if angle A measures 45° and angle B measures 60°, what is the measure of angle C in degrees?

45°
60°
75°
90°
#5

Which similarity criterion is used to prove that two triangles are similar if two angles of one triangle are equal to two angles of another triangle?

Angle-Angle (AA) Criterion
Side-Angle-Side (SAS) Criterion
Angle-Side-Angle (ASA) Criterion
Side-Side-Side (SSS) Criterion
#6

In triangle ABC and triangle DEF, angle A is congruent to angle D, and angle B is congruent to angle E. Which similarity criterion can be used to prove that the two triangles are similar?

Angle-Angle (AA) Criterion
Side-Angle-Side (SAS) Criterion
Angle-Side-Angle (ASA) Criterion
Side-Side-Side (SSS) Criterion
#7

If triangle ABC is similar to triangle DEF, and the ratio of the lengths of corresponding sides is 2:3, what is the ratio of their perimeters?

2:3
3:2
4:9
9:4
#8

In triangle DEF, if angle D measures 60° and angle F measures 80°, what is the measure of angle E in degrees?

40°
60°
100°
120°
#9

In triangle XYZ, angle X measures 50°, angle Y measures 70°. What is the measure of angle Z in degrees if the triangle is similar to triangle ABC where angle A measures 60° and angle B measures 80°?

40°
50°
60°
70°
#10

If triangle PQR is similar to triangle STU with a scale factor of 1:2, and the area of triangle PQR is 36 square units, what is the area of triangle STU?

18 square units
36 square units
72 square units
144 square units
#11

In triangle XYZ, if the ratio of the lengths of corresponding sides is 3:4 and the perimeter is 42 units, what is the perimeter of triangle XYZ?

36 units
42 units
48 units
56 units
#12

If two triangles are similar, and one triangle has sides of length 6 cm, 8 cm, and 10 cm, what are the corresponding sides of the other triangle if the scale factor is 1:2?

3 cm, 4 cm, 5 cm
4 cm, 6 cm, 8 cm
6 cm, 8 cm, 10 cm
12 cm, 16 cm, 20 cm

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