Similar Figures Corresponding Angles and Sides

Are these two figures congruent, similar or neither?

• Congruent

• Neither

• Similar

Which statement is true about similar figures?

• the corresponding angles are congruent and the corresponding sides are proportional

• the corresponding angles are congruent and the corresponding sides are congruent

• the corresponding angles are proportional and the corresponding sides are proportional

• the corresponding angles are proportional and the corresponding sides are congruent

∆EFG is similar to ∆HJK. Determine the scale factor of the larger figure to the smaller figure. Take your time!

• 1/3

• 3

• 3 1/3

• 7

• 24
• 6
• 10
• 7

In the figures below, ∆QSR ~ ∆XYZ. Write a proportion and solve for side QS. 

• 2.4

• 15

• 24

• 16

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

A building 70 ft high casts a 150 ft shadow. A nearby flagpole casts a 60 ft shadow. Draw a diagram and write a proportion to find the height of the flagpole.

• 28

• 175

• 30

• 150

The trapezoids are similar. What is the value of x? Be careful.

• 10

• 37.5

• 25

• 15

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary