Q5 of 48 Page 99

Draw a quadrilateral, if its vertices are as follows:

(i) (1, 1), (2, 4), (8, 4) and (10, 1)


(ii) (–2, –2), (–4, 2), (–6, –2) and (–4, –6).


In each case tell the type of the quadrilateral.

(i) The vertices are plotted on the rectangular axes.



Since only a pair of the opposite sides is parallel, the obtained quadrilateral is trapezium.


(ii) The vertices are plotted on the rectangular axes.



Since both pairs of the opposite sides are parallel and equal, the obtained quadrilateral is rhombus.


More from this chapter

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3

Taking rectangular axes plot the points O(0, 0), P(3, 0) and R(0, 4). If OPQR is a rectangle, then find the coordinates of point Q.

 4

Plot the points (–1, 0), (1, 0), (1, 1), (0, 2), (–1, 1), and which figure is obtained by joining these correctively.

 6

Find the distance between the following points:

(i) (–6, 7) and (–1, –5)


(ii) (–1, –1) and (8, –2)


(iii) (at12, 2at1) and (at22, 2at2)

 7

Prove that the points (2, –2), (–2, 1) and (5, 2) are the vertices of a right angled triangle.