Quiz for:
Congruent and Similar Triangles

Question 1

In similar triangles, if CB = 15, AC = 9, AB = 10, DF = 6, what is the length of EF?

Question 2

Given similar triangles with sides in the ratio 3:2, if one side of the larger triangle is 9, what is the corresponding side in the smaller triangle?

Question 3

Using the Side-Side-Side (SSS) criterion, under what condition are two triangles similar?

Question 4

If two triangles have two pairs of congruent corresponding angles, what can be said about the third pair of angles?

Question 5

When triangles are similar, what can be said about their corresponding sides?

Question 6

How do you verify congruence of two triangles using their sides?

Question 7

In the Side-Angle-Side (SAS) criterion for similar triangles, what must be true?

Question 8

Which condition is not a criterion for triangle similarity?

Question 9

What is the defining criterion for two triangles to be congruent?

Question 10

In the context of solving real-world problems, why are similar triangles useful?

Question 11

What is the Angle-Angle-Angle (or AA) criterion for triangle similarity?

Question 12

What technique can you use to visualize similarity between triangles?

Question 13

Using the proportions of similar triangles, if a 3-foot stick casts a 5-foot shadow and a tree casts a 45-foot shadow at the same time, what is the height of the tree?

Question 14

What must correspond in congruent triangles?

Question 15

What is the measure of angle B in a triangle where the other two angles measure 35° and 43°?