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1. |
Find the value of x in the parallelogram below. |
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A. |
140 |
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B. |
50 |
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C. |
30 |
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D. |
33 |
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Hint |
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2. |
If PQRS is a parallelogram, find the value of y. |
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A. |
15 |
B. |
115 |
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C. |
75 |
D. |
175 |
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Hint |
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3. |
Which of the following does not guarantee that a quadrilateral is a parallelogram? |
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A. |
A pair of consecutive sides are congruent. |
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B. |
Both pairs of opposite sides are congruent. |
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C. |
Both pairs of opposite sides are parallel. |
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D. |
Both pairs of opposite angles are congruent. |
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Hint |
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4. |
Find the values of x and y that ensure that the quadrilateral is a parallelogram. |
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A. |
x = 16, y = 12 |
B. |
x = 12, y = 13 |
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C. |
x = 16, y = 26 |
D. |
x = 13, y = 12 |
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Hint |
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5. |
In rectangle ABCD, AC = 24 and DE = 2x - 8. Find x. |
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A. |
16 |
B. |
13 |
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C. |
7 |
D. |
10 |
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Hint |
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6. |
In rectangle RSTU, which pair of segments is not necessarily congruent? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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7. |
ABCD is a parallelogram. What are the coordinates of C? |
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A. |
(b, c) |
B. |
(b, a + c) |
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C. |
(a, c) |
D. |
(a + b, c) |
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Hint |
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8. |
In rhombus EFGH, if HE = 13 and HP = 12, then PE = ______. |
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A. |
5 |
B. |
11 |
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C. |
3 |
D. |
1 |
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Hint |
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9. |
If  bisects  ABC and ADC, and P is the midpoint of , then ABCD can be most precisely defined as a _______. |
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A. |
rhombus |
B. |
quadrilateral |
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C. |
rectangle |
D. |
square |
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Hint |
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10. |
The measures of two base angles on the same side of a trapezoid are 10x + 7 and 6x - 3, respectively. What is the measure of the larger base angle? |
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A. |
63 |
B. |
83 |
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C. |
117 |
D. |
97 |
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Hint |
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11. |
Quadrilateral JKLM has vertices at (-2, 3), (3, 3), (-8, -8), and (-3, 2). How can this figure be most precisely described? |
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A. |
rectangle |
B. |
isosceles trapezoid |
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C. |
parallelogram |
D. |
trapezoid |
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Hint |
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12. |
The exterior angle of a regular polygon is 32.7°. Find the number of sides. |
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A. |
7 |
B. |
11 |
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C. |
6 |
D. |
10 |
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Hint |
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13. |
Find the measure of  . |
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A. |
110° |
B. |
75° |
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C. |
29° |
D. |
140° |
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Hint |
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14. |
Kayla wants to prove that the quadrilateral QRST is a parallelogram. How should she begin proving this in a coordinate proof? |
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A. |
Find the midpoints of each segment. |
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B. |
Draw the diagonals of the quadrilateral. |
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C. |
Find the slopes of the opposite segments. |
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D. |
Find the measure of the interior angles of the quadrilateral. |
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Hint |
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