Q26 of 184 Page 10

Prove that points (-3, -1), (2, -1), (1, 1) and (-2, 1) taken in order are the vertices of a trapezium.

Given: Points of the quadrilatreral A(-3, -1), B(2, -1), C(1, 1), and D(-2, 1).


To Prove: ABCD is a trapezium


Proof:


For proving ABCD to be a trapezium, we need to prove that two of the sides are parallel.


Therefore, AB and CD are parallel.


For proving ABCD a trapezium,


Slope of AB = Slope of CD


Slope of AB


Slope of CD


Hence, the quadrilateral is a trapezium.


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