Ratios and Proportions, Similar Polygons, and Proportions in Triangles

Find the scale factor of ΔMNP to ΔDEF

The two triangles are similar. Find the value of x.

• x = 25

• x = y

• x = 10

The two triangle are similar. Find the value of y.

• y = 12

• y = x

• y = 30

Two polygons are similar. The perimeter of the first polygon is 72 inches. The perimeter of the second polygon is 90 inches. What is the scale factor of the first polygon to the second polygon?

• 72 : 90

• 90 : 72

• 4 : 5

• 5 : 4

Complete each proportion.

AB / BM = ? / CD

• BC

• MD

• AC

• MC

• A
• B
• C
• D

Write the ratio in simplest form of the hours a student spends relaxing or doing homework to the number of hours sleeping.

• 5 : 24

• 5 : 9

• 24 : 5

• 9 : 5

Write the ratio in simplest form of the hours a student is at football practice to the hours in a day.

• 2 : 24

• 2 : 22

• 1 : 12

• 1 : 11

Write a ratio in simplest form of the hours a student is at school to the hours a student is relaxing or doing homework at home or sleeping.

• 1 : 2

• 7 : 5

• 7 : 9

• 7 : 24

• x = 3

• x = 27

• x = 12