Geometry Similar Polygons and Ratios and Proportions

Solve the proportion.

• k=5

• k=3.3333333

• k=60

• k=90

Solve the proportion.

• q=2

• q=9

• q=4.5

• q=6

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

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

• 3.75

• 9.75

• 10

• 12

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

If ABCDE ∼ GHJDF, then∠B is congruent to _______

• ∠H

• ∠D

• ∠F

• ∠J

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 63 in., what is the length of the banner?

• 84 in

• 71 in

• 47.25 in

• 80

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

• x = 9
• x = 28
• x = 7
• x = 63

Are the two figures similar?

• yes

• no

The figures are similar. Find the scale factor of the smaller figure to the larger figure.

• 2:5

• 5:3

• 3:5

• 2:3