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- 1. Multiple Choice
Find the values of x and y for which ABCD must be a parallelogram. The diagram is not to scale.
x = 6; y = 6
x = 8; y = 6
x = 4; y = 12
x = 8; y = 4
- 2. Multiple Choice
LMNO is a parallelogram. If NM = x + 5 and OL = 2x + 3, find the value of x.
x = 3
x = 1
x = 4
x = 2
- 3. Multiple Choice
If ON = 5x - 7, LM = 4x + 4, NM = x - 7, and OL = 3y - 4, find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale.
x = 11; y = 8/3
x = 12; y = 4/3
x = 12; y = 8/3
x = 11; y = 4/3
- 4. Multiple Choice
In the figure, the horizontal lines are parallel and AB = BC = CD. Find MJ and GE. The diagram is not to scale.
MJ = 24.1; GE = 17.2
MJ = 26.1; GE = 17.2
MJ = 25.1; GE = 19.2
MJ = 26.1; GE = 20.2
- 5. Multiple Choice
For a regular n-gon, what is the sum of the measures of its interior angles?
A
B
C
D
- 6. Multiple Choice
For a regular n-gon, what is the measure of each interior angle?
A
B
C
D
- 7. Multiple Choice
For a regular n-gon, what is the sum of the measures of its exterior angles?
A
B
C
D
- 8. Multiple Choice
For a regular n-gon, what is the measure of each exterior angle?
A
B
C
D
- 9. Multiple Choice
The sum of the measures of two exterior angles of a triangle is 264. What is the measure of the third exterior angle?
116
106
86
96
- 10. Multiple Choice
For parallelogram PQRS, find the values of x and y. The diagram is not to scale.
x = 3; y = 6
x = 5; y = 6
x = 3; y = 7
x = 6; y = 3
- 11. Multiple Choice
Find the values of the variables in the parallelogram. The diagram is not to scale.
x = 31, y = 53, z = 98
x = 31, y = 53, z = 96
x = 31, y = 51, z = 96
x = 31, y = 52, z = 95
- 12. Multiple Choice
The sum of the angle measures of a polygon with s sides is 2340. Find s.
19
17
13
15
- 13. Multiple Choice
Find the value of x. The diagram is not to scale.
47
45
49
51
- 14. Multiple Choice
This jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as shown here. The box uses two pairs of congruent right triangles made of foam to fill its four corners. Find the measure of the foam angle marked x.
60o
62o
70o
72o
- 15. Multiple Choice
For the parallelogram, if the measure of angle 2 is 4x - 20, and the measure of angle 4 is 3x - 11, then what is the measure of angle 1? The diagram is not to scale.
194
164
174
184
- 16. Multiple Choice
What is the measure of one angle in a regular 30-gon?
158
168
148
138
- 17. Multiple Choice
Are these quadrilaterals parallelograms?
A. No; B. No
A. No; B. Yes
A. Yes; B. No
A. Yes; B. Yes
- 18. Multiple Choice
Find the value of x.
123
133
143
113
- 19. Multiple Choice
The length of one side of a parallelogram is 3 more than twice the length of the adjacent side. If the perimeter is 30cm, what are the lengths of the two adjacent sides?
5cm and 10cm
4cm and 11cm
6cm and 9cm
3.5cm and 11.5cm
- 20. Multiple Choice
For what values of x and y must this quadrilateral be a parallelogram?
x = 13; y = 3
x = 15; y = 4
x = 13; y = 5
x = 15; y = 3
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