Identifying Similar Figures

Matching sides are called

• Corresponding Sides
• Corresponding Angles
• The Same
• Congruent Sides

All angles in similar figures are congruent.  

• True
• False

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.

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

• x = 20
• x = 12
• x = 5
• x = 4

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

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?

• 3 in
• 2 in.
• 4 in
• 1 in

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 

• 7 in
• 9 in
• 12 in
• 14 in

Find the perimeter of the large triangle.

• 24
• 36
• 12
• 54

Complete each proportion.
CB / DM  =  AC / ?

• BM
• MA
• BC
• AD

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75
• 9.75
• 10
• 12