Proportional
Solving Proportions
Similar Figures
Scale Drawing
Unit Vocab
100
Are 3/4 and 24/32 proportional?
Yes
100
Solve: 2/5 = x/35
x = 14
100
There is a rectangular picture frame that has a width of 2 ft and length of 3 ft. A similar rectangular picture frame has a length of 4.2 ft. What is the width?
2.8 ft
100
If the scale on a map is 1 cm:50 miles, what is the actual distance for two cities that are 2 cm apart?
100 miles
100
The ratio USED to enlarge or reduce similar figures
Scale factor
200
Are 5/6 and 15/18 proportional?
Yes
200
Solve: 2/11 = 12/d
d = 66
200
A palm tree casts a shadow that is 44 feet long. A 6 ft ladder casts a shadow of 16 feet long. What is the height of the palm tree?
16.5 ft
200
You know the length and width of a scale model. What other information do you need to know to find the scale of the model.
The actual length and width of the item.
200
Technique of using similar figures and proportions to find a measure
Indirect measurement
300
Are 10/12 and 20/32 proportional?
No
300
Solve: 3/8 = a/64
a = 24
300
Kareem and Julio have rectangular model train layouts that are similar to each other. Julio's layout is 4 ft by 7 ft. Kareem's layout is 6 ft wide. What is the length of Kareem's layout?
10.5 ft
300
A dolphin in an aquarium is 12 feet long. A scale model of the dolphin is 3 inches long. What is the scale factor of the model?
4ft:1in
300
The ratio between two sets of measurements
scale
400
Are 9/10 and 45/50 proportional?
Yes
400
Solve: e/22 = 6/15
e = 8.8
400
A 6 ft tall adult casts a shadow that is 15 ft long. What is the height of a child who casts a 10 ft. shadow?
4 ft
400
The scale drawing of this tree is 1:500 If the height of the tree on paper is 20 inches, what is the height of the tree in real life?
10000 inches
400
A sketch that uses a ratio to make an object smaller than or larger than the real object.
scale drawing
500
Jeremy earns $234 for 36 hours of work. Miguel earns $288 for 40 hours of work. Are the pay rates of these two people proportional?
No; Jeremy earns $6.50 per hour, Miguel earns $7.20 per hour.
500
Solve: 28/9 = 19.6/m
m = 6.3
500
An architect is building a model of a tennis court for a new client. On the model, the court is 6 in wide and 13 in long. An official tennis court is 36 ft wide. What is the length of a tennis court?
78 ft long
500
With a scale of 1:12 Wingspan of an airplane 5.4 ft = ____ yd
21.6 yds
500
A proportional example of a 3-D object
scale model
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