Q. 9 B

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

(-3, 5), (3, 1), (1, -3), (-1,-4)

Answer :

Let A(-3, 5), B(3, 1), C(1, -3) and D(-1,-4)

Let us see the points on coordinate axes.

Let us first calculate the length of the sides,

We know that distance between two points A(x1, y1) and B(x2, y2) is given by,


Therefore,



Now calculating BC,


Calculating CD,

Calculating DA,

From the lengths we can see that, none of the sides are equal.

Hence, the quadrilateral formed is of no specific type.

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