Q9 of 49 Page 167

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer.

(4, 5), (7, 6), (4, 3), (1, 2)

Let A(4, 5), B(7, 6), C(4, 3) and D(1, 2)

If ABCD is parallelogram


Midpoint of diagonals AC and BD


⇒ For AC =


X(4,4)


⇒ For BD =


X(4,4)


As the midpoints are same the diagonals bisect each other


Thus, the points form a parallelogram


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