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(x

_{1}, y

_{1}) and B(x

_{2}, y

_{2}) 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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