Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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| 1. | Find
values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
a. | x = 3,
y = 8 | b. | x = 8,
y = 15 | c. | x = 8,
y = 8 | d. | x = 8,
y = 3 | | | | | | | | |
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| 2. | ABCD is a parallelogram. If  then
 The diagram is not to
scale.
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| 3. | DEFG is a rectangle. DF = 2x – 2 and EG =
x + 2. Find the value of x and the length of each diagonal. a. | x = 4,
DF = 4, EG = 4 | c. | x = 2,
DF = 4, EG = 4 | b. | x = 4, DF = 6, EG =
8 | d. | x = 4,
DF = 6, EG = 6 | | | | |
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| 4. | LMNO is a parallelogram. If NM = x + 21 and OL = 4x
+ 9 find the value of x and then find NM and OL.
a. | x = 4,
NM = 25, OL = 25 | c. | x = 6,
NM = 27, OL = 27 | b. | x = 4, NM = 27, OL =
25 | d. | x = 6,
NM = 25, OL = 27 | | | | |
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| 5. | In
parallelogram DEFG, DH = x + 4, HF = 3y, GH = 2x
– 4, and HE = 4y + 4. Find the values of x and y. The diagram is not
to scale.
a. | x = 20,
y = 8 | b. | x = 23,
y = 9 | c. | x = 9,
y = 23 | d. | x = 8,
y = 20 | | | | | | | | |
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| 6. | In
the rhombus,  Find the value of each variable. The diagram
is not to scale.
a. | x = 9,
y = 81, z = 5 | c. | x = 18,
y = 171, z = 5 | b. | x = 18, y = 81, z =
10 | d. | x = 9,
y = 171, z = 10 | | | | |
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| 7. | Find
the values of the variables and the lengths of the sides of this kite.
a. | x =16,
y = 8; 11, 11 | c. | x = 8,
y = 16; 11, 18 | b. | x = 8, y = 16; 3,
19 | d. | x =16,
y = 8; 3, 19 | | | | |
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| 8. | Complete this statement. A polygon whose sides all have the same length is said to be
____. a. | regular | b. | equilateral | c. | equiangular | d. | convex | | | | | | | | |
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| 9. | Find
the missing angle measures. The diagram is not to scale.
a. | x = 124,
y = 115 | c. | x = 66,
y = 114 | b. | x = 66, y = 124 | d. | x = 114, y = 66 | | | | |
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| 10. | Find
AM in the parallelogram if PN =13 and AO = 6. The diagram is not to
scale.
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