Proportional
Solving Proportions
Similar Figures/Scale Drawings
Angle Relationships
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 8 ft. What is the width?
12 ft
100
If angle AIB is 28 degrees, what is angle BIC equal to?
BIC = 62 degrees
100
What is the RATIO used to enlarge or reduce similar figures called?
Scale
200
Are 5/6 and 15/24 proportional?
No
200
Solve: 2/11 = 12/d
d = 66
200
A palm tree casts a shadow that is 30 feet long. A 6 ft ladder casts a shadow of 18 feet long. What is the height of the palm tree?
10 ft
200
What is the measurement of angle EIF?
angle GIF = 28 degrees.
200
What are two opposite angles called?
Vertical Angles.
300
Are 10/12 and 20/32 proportional?
No
300
Solve: e/45 = 6/15
e = 2
300
Karen has a rectangular model train that is 3 inches by 10 inches. If the scale of the model is 2 in:10 ft, what are the dimensions (length and width) of the actual train?
15 ft by 50 ft.
300
What is the measurement of angle DIE?
angle DIE = 66 degrees
300
What are two angles that sum to 180 degrees?
Supplementary angles.
400
Are 9/10 and 45/50 proportional?
Yes
400
Solve: e/3 = 10/2
e = 15
400
A blueprint drawing of a room has a scale of 1 cm: 4 ft. If the actual room has dimensions 36 ft by 20 ft, what are the dimensions of the blueprint?
9cm by 5cm
400
What is the measurement of angle DIE?
angle DIE = 66 degrees
400
What are two angles that sum to 90 degrees?
Complementary angles.
500
Jeremy earns $240 for 30 hours of work. Miguel earns $280 for 40 hours of work. Are the pay rates of these two people proportional?
No; Jeremy earns $8.00 per hour, Miguel earns $7.00 per hour.
500
Solve: 7/28 = 5/m
m = 20
500
A picture has dimensions 8 inches by 10 inches. A painting version of it has a scale 2 ft: 1 in. What is the area of the painting?
A = 320 square feet.
500
Angle HIG = x and angle HIC = 3x - 2. What is the measurement of angle HIG?
angle HIC = 168 degrees
500
What does the Triangle Inequality Theorem state?
the sum of any two sides of a triangle must be longer than the third side.
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