Ratios and Proportions
Scale Factor
Similar Figures
Missing sides of similar figures
Unit Rates
200
Simplify the following ratio: 8:14
4:7
200
A rectangle has a base of 24 inches and a height of 16 inches. A scaled copy of the rectangle is made using a scale factor of 1/4. What are the base and height of the scaled figure?
base = 6 inches
height = 4 inches
200
What does it mean for two shapes to be similar?
Same shape, different size
200
The following figures are similar. Find the missing value.
x = 11
200
A carton of 12 cans of soda costs $11.50. What is the price per can? Round to the nearest cent.
$0.96 per can
400
Simplify the following ratio: 76:28
19:7
400
Find the scale factor of the similar figures (from left to right)
Scale factor = 3/2
400
For figures to be similar, what has to be true about the corresponding angles?
Corresponding angles have to be congruent
400
The following figures are similar. Find the missing value.
x = 56 mm
400
Which is the better buy?
12 ounces of juice for $2.30
or
16 ounces of juice for $3.20
Prove your answer.
The 12 ounces is the better deal because it costs $0.19 per ounce and the 16 ounces costs $0.20 per ounce.
600
15 gallons of gas costs $45.30. How much does 12 gallons of gas costs?
$36.24
600
Find the scale factor of the two similar figures (from left to right)
Scale factor = 3
600
For figures to be similar, what has to be true about the corresponding sides?
Corresponding sides have to be proportional.
600
The following figures are similar. Find the missing value.
Hint: Draw the triangles separately!!
x = 18
600
A bag is 1/2 filled with 3/4 pounds of candy. How many pounds will fill an entire bag? Give your answer as a simplified mixed number.
1 1/2 pounds per bag
800
There are 10 girls, 12 boys and 2 non-binary students in a class. What is the simplified ratio of girls to total students?
5/12
800
Find the scale factor of the similar figures (from left to right)
Scale Factor = 4/3
800
Are these figures similar?
Yes, the corresponding angles are congruent and the sides are proportional
800
The following figures are similar. Find the missing value.
x = 50 feet
800
Warren runs 2 1/4 miles in 1/3 hour. What is his speed in miles per hour? Give your answer as a mixed number.
6 3/4 mph
1000
A person on an electric scooter rode 5.4 miles in 20 minutes.
a) What is the speed in miles per hour?
b) How long would it take them to travel 18 miles? Round to the nearest hundredth.
a) 16.2 miles per hour
b) 1.11 hours
1000
The parallelogram shown above is reduced using a scale factor of 1/5. What is the perimeter of the scaled parallelogram?
34 yards
1000
Are these figures similar?
No, the corresponding angles are congruent, but the sides are not proportional
1000
A tree casts a shadow 60 feet long. At the same time, a nearby 8 foot post casts a 12 foot shadow. How tall is the tree?
The tree is 40 feet tall.
1000
What is the unit rate shown in the graph?
$1.80 per pizza