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 width of 8 ft. What is the length?
12 ft
100
The 2 angles are ____________ angles and this is the measure of angle X.
What is Complementary and 60 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 X.
Angle x = 56 degrees.
200
What is the relationship between two opposite angles called?
Vertical Angles.
300
Are 10/12 and 20/32 proportional?
No
300
Solve: e/15 = 6/45
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
Find the missing measurements of x, y, and z.
angle x = 108 degrees, angle y = 72 degrees, and angle = 18 degrees
300
What is the relationship of two angles that sum to 180 degrees called?
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 72 degrees.
400
What is the relationship between two angles that sum to 90 degrees called?
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
Hint: a linear pair creates a straight line or angle.
What is a 122 degrees.
500
What does the Triangle Inequality Theorem state?
the sum of the smaller two sides of a triangle must be greater than the longest side.