Q. If a quadrilateral has two pairs of opposite sides that are equal, what can be concluded about the quadrilateral?
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A.
It is a rectangle
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B.
It is a rhombus
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C.
It is a parallelogram
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D.
It is a trapezoid
Solution
A quadrilateral with two pairs of opposite sides that are equal is a parallelogram by definition.
Correct Answer:
C
— It is a parallelogram
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Q. If a quadrilateral is a kite, what can be said about its diagonals?
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A.
They are equal
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B.
They bisect each other
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C.
One diagonal bisects the other
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D.
They are perpendicular
Solution
In a kite, one diagonal bisects the other diagonal.
Correct Answer:
C
— One diagonal bisects the other
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Q. If a quadrilateral is a rectangle, what can be said about its diagonals?
-
A.
They are equal and bisect each other
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B.
They are unequal
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C.
They are perpendicular
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D.
They are parallel
Solution
In a rectangle, the diagonals are equal in length and bisect each other.
Correct Answer:
A
— They are equal and bisect each other
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Q. In a rhombus, if one angle measures 60 degrees, what is the measure of the adjacent angle?
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A.
120 degrees
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B.
60 degrees
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C.
90 degrees
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D.
180 degrees
Solution
In a rhombus, adjacent angles are supplementary. Therefore, if one angle is 60 degrees, the adjacent angle is 180 - 60 = 120 degrees.
Correct Answer:
A
— 120 degrees
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Q. In a trapezoid, if the lengths of the bases are 10 cm and 6 cm, what is the average length of the bases?
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A.
8 cm
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B.
7 cm
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C.
6 cm
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D.
9 cm
Solution
The average length of the bases is calculated as (10 cm + 6 cm) / 2 = 8 cm.
Correct Answer:
A
— 8 cm
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Q. In a trapezoid, if the lengths of the bases are 10 cm and 6 cm, what is the length of the midsegment?
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A.
8 cm
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B.
7 cm
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C.
9 cm
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D.
6 cm
Solution
The length of the midsegment of a trapezoid is the average of the lengths of the bases: (10 cm + 6 cm) / 2 = 8 cm.
Correct Answer:
A
— 8 cm
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