Question

A quadrilateral has vertices A( 3, 5), B( 2, 0), C( 7, 0), and D( 8, 5). Which statement about the quadrilateral is true?

Answer 1

It is a parallelogram.

Explanation:

The opposite sides AD and BC are both horizontal so they are parallel.

The slope o AB = (0-5)/ (2-3) = 5 and slope of the opposite side CD =

(5-0)/(8-7) = 5 so these 2 are also parallel.

The quadrilateral is therefore a parallelogram.

If 2 adjacent sides are equal it is also a rhombus so we check the lengths of the sides.

Length of AD = 8-3 = 5 units.

Length of DC = sqrt((5-0)^2 + (8-7)^2) = sqrt 26 so it is not a rhombus.

Answer 2

ABCD is a parallelogram with non-perpendicular adjacent sides.

Explanation:

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