Similarity and Proportionality

If two polygons are similar, then the corresponding side lengths are ___________.

• congruent
• similar
• equal
• proportional

If two polygons are similar, then the corresponding angles are ___________.

• congruent
• similar
• equal
• proportional

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

• x = 12
• x = 3
• x = 40
• x = 4

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

• x = 20
• x = 12
• x = 5
• x = 4

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 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

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

• x = 1
• x = 3
• x = 9
• x = 5

Solve the proportion.

• k=5
• k=3.3333333
• k=60
• k=90

A __________ is a comparison of two quantities.

• transformation
• scale
• ratio
• graph