Ratio of Similar Figures

Sides in similar figures must be proportional.  

• True

• False 

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

• 3 in

• 2 in.

• 4 in

• 1 in

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner?

• 72 in

• 60 in

• 62 in

• 80 in

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

Which side length corresponds with EF?

• MN

• LM

• OL

• EH

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

All corresponding sides are proportional (same ratio) in similar figures.

• True

• False

Solve the proportion:

• 4

• 8

• 14

• 10

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

• Congruent

• Vertical

• Similar

• Complementary 

Find the missing side of the large triangle, then, find the PERIMETER of the large triangle.

• the missing side is 12, the perimeter is 24

• the missing side is 12, the perimeter is 36