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Question

Points A(1, 1), B(2, 2), C(3, 3) and D(4, 4) form a parallelogram.


A

True

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B

False

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Solution

The correct option is B

False


A quadrilateral ABCD is a parallelogram if AB is parallel to CD and BC is parallel to CA.

The slope of a line passing through two points (x1,y1) and (x2,y2) is y2y1x2x1.

Given A(1, 1), B(2, 2), C(3, 3), D(4, 4)

The slope of AB=2121=1

The slope of BC=3232=1

The slope of CD=4343=1

The slope of DA=1414=1

In this case the slope of all line are equla, ie. they do not form a paralleogram. They from a straight line.


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