Similarity Review

Simplify

100

8:24

1:3

200

64:56

8:7

300

99:9

9:1

400

2m:50mm

40:1

500

2 weeks : 100 minutes

1008:5

Solve

100

1:3=6:___

18

200

4:7=___:21

12

300

25:15=___:3

5

400

Solve:  y:3 = 27:y

-9, 9

500

The ratio of the perimeter of rectangle ABCD to the perimeter of rectangle EFGH is 4:7. If AD=3, DC=5, and EH=4, find HG.

10

Geometry

100

The ratio of the side lengths of a quadrilateral is 2:4:5:7, and its perimeter is 36 meters.  What is the length of the shortest side?

4 meters

200

The ratio of the angle measures in a triangle is 5:12:19.  What is the measure of the largest angle?

95 degrees

300

The ratio of the angle measures in a parallelogram is 2:3:2:3.  What is the measure of each angle?

72 and 108

400

The ratio of the side lengths of an isosceles triangle is 4:4:7, and its perimeter is 52.5 cm.  What is the length of the base of the triangle?

24.5 cm

500

The ratio of the lengths of a quadrilateral's consecutive sides is 2:5:2:5.  The ratio of the lengths of the diagonals is 1:1.  What type of quadrilateral is this? Explain.

rectangle; opposite side are congruent and the diagonals are congruent

Part to Whole

100

There are 10 strawberries and 7 grapes in a bowl. What is the simplified ratio of strawberries to the total fruit in the bowl?

10:17

200

There are 60 computers in a room and 25 of them are black. What is the ratio of black computers to the total number of computers?

5:12

300

There are 6 sheets of blue, 8 sheets of red, and 2 sheets of black paper. What is the ratio of red paper to the total sheets?

1:2

400

If there are 10 girls and 8 boys in Ms. James' class, what is the ratio of girls to the number of students?

5:9

500

There are 8 drops of blue paint, 9 drops of yellow paint, and 3 drops of green paint in a shade of blue. What is the ratio of green paint to the total paint?

3:20

Real-World

100

If Nicole's mom gives her kids Alice and Bryce a total of $50 in the ratio 8:2, how much does each child receive?

Alice: $40 Bryce: $10

200

Jasmine, Joel and Justin have money in the ratio 2:5:3. If Justin has $12, how much does Jasmine have?

$8

300

Erin, Jon, and Jordan have stamps in the ratio 8:9:18. Erin received 184 stamps. How many do Jon and Jordan have?

Jon: 207 stamps Jordan: 414 stamps

400

Jason, Jeff, and Abby have baseball cards in the ratio 6:8:3. If Jason and Abby have 36 together, how many do each have?

Jason: 24 cards Jeff: 32 cards Abby: 12 cards

500

Pedro, his mom, and his dad have breadsticks in the ratio of 1:3:10. If Pedro's mom has 9 breadsticks, how many does the family have together?

42 breadsticks