Similar Figures Ratios

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

• 10

• 37.5

• 25

• 15

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

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

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.

• 7.5

• 13.5

• 1.5

• 1.7

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.

Solve for y.

Solve for z.

When the figure goes from being SMALLER TO LARGER, the scale factor will be___________________.

• greater than 1

• less than 1

• equal to 1