Similar Figures and Corresponding Angles

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 

All angles in similar figures are congruent.  

• True

• False

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

What is the measure of angle F?

• 36^o

• 63^o

• 81^o

• 99^o

The pair of figures is similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

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

• Congruent

• Vertical

• Similar

• Complementary

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 

• proportional, congruent 

• congruent, congruent

• proportional, proportional