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Question

The points A(1, 2), B(4, 3), C(1, 0) and D(-2, -1) are the vertices of a parallelogram. “The midpoints of AC and BD are the same.”


A

True

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B

False

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Solution

The correct option is A

True


Midpoint of diagonal AC=(1+12,2+02)=(22,22)=(1,1)
Midpoint of diagonal BD=(422,312)=(22,22)=(1,1)
The midpoints of AC and BD coincide. Hence the given statement is TRUE.


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