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Question

Which of the following properties are used in the construction of a parallelogram given the measure of two sides and one diagonal?

A
Opposite sides are equal in measure.
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B
Opposite angles are equal.
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C
Diagonals of a parallelogram bisect each other.
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D
Diagonals are equal in measure.
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Solution

The correct option is A Opposite sides are equal in measure.
The only property that is used in the construction of a parallelogram given the measure of two sides and one diagonal, is that opposite sides of a parallelogram are equal in measure.
Also, note that the diagonals of a parallelogram need not be equal in measure.

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Constructing a Parallelogram When Its Two Adjacent Sides and One Diagonal Are Given
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