Scale Factor/Scale Drawings
Triangle Inequality
Triangle Sum Theorem
Pythagorean Theorem
Parallel Lines Cut by A Transversal
100
A company that creates model cars uses a 2.5 foot : 1 inch ratio when creating the models. If a real car is 12 feet long, how long will the model car be?
4.8 inches
100
Two sides of a triangle have lengths of 9 ft and 18 ft. Write an inequality to represent the possible length for the third side, x?
9 < x < 27
100
For Δ CBD, the measure in degrees of angles C, B, and D are 55, 71, and x + 24 respectively. What is the value of x?
x = 30
100
Imagine that you want to clean the window of a 1st floor bedroom and you have a 13-meter-long ladder. To reach the window, you place the ladder such that the foot of the ladder is 5 meters away from the wall. Can you tell the height of the window from the ground?
12 m
100
Find the value of x.
x = 70
200
A map has a scale of 3 cm : 18 km. If Riverside and Smithville are 54 km apart then they are how far apart on the map?
9 cm
200
Which number could be NOT a value of x?
A. 10
B. 13
C. 18
D. 20
D. 20
200
What is the value on x in the diagram below?
x = 61
200
What is the diagonal of a rectangle with sides 10 and 16? Round to the nearest tenth.
d = 18.9
200
Find the value of x.
x = 64
300
A kiddi pool was built in the corner of a larger pool that measured 14 ft by 24 ft. The kiddi pool was 6 ft wide and similar to the bigger pool. How tall was the kiddi pool?
3.5 ft
300
Which of the following could be the side lengths of a triangle?
A. 8 cm, 19 cm, 15 cm
B. 6 cm, 3 cm, 9 cm
C. 34 cm, 9 cm, 25 cm
D. 10 cm, 8 cm, 9cm
A, C, D
300
Find the value of x. Then find the measure of each angle.
x = 25
angle DEG = 55
angle GEH = 65
angle HEF = 60
300
Televisions are measured diagonally to determine their listed size. Julie bought a 60 inch television that measures 44 inches in height. What is the width of the television? Round to the nearest tenth.
40.8
300
Find the value of x.
x = 12
400
A square has a side length of 12 inches. It is enlarged and the new side length is 27 inches. What is the scale factor?
2.25
400
Two sides of a triangle have side lengths of 7 cm and 16 cm. Select all measurements that could be the length of the third side of this triangle.
A. 9
B. 12.5
C. 16
D. 20
E. 22.5
F. 24
B, C, D, E
400
Segments AB, EF, and CD intersect at point C, and angle ACD is a right angle. Find the value of g.
g = 37
400
Sara ran north 1.5 miles from her house to the post office. She then ran 2 miles west. Sara then ran back home. What is the distance she ran to get home?
2.5 miles
400
Find the value of x.
x = 42
500
Two boxes of tissues are similar in shape and size. The smaller tissue box is dilated by a scale factor of 1.5 to create the bigger tissue box. What are the measurements of x, y, and z of the smaller tissue box?
x = 10 y = 14 z = 6
500
Two sides of a triangle have the following measures. Find the range of possible measures for the third side.
11.5 and 8.25
3.25 < x < 19.75
500
In the figure that is shown, what is the measure, in degrees, of angle xyz?
44 degrees
500
In the diagram below, a diagonal was cut. What is the length of that diagonal? Round to the nearest tenth.
13.4
500
Solve for x. Then explain your reasoning. What is the solution when solved for x, and why.
A. x = 23, because corresponding angles are congruent. Therefore, 3x + 19 = 4x - 2
B. x = 21, because vertical angles are congruent. Therefore, 3x + 19 = 4x - 2.
C. x = 24, because alternate interior angles are congruent. Therefore, 3x + 9 = 4x - 2.
D. x = 28, because alternate exterior angles are supplementary. Therefore, 3x + 9 + 4x - 2 = 180.
B. x = 21, because vertical angles are congruent. Therefore, 3x + 19 = 4x - 2.