Q13 of 20 Page 52

Let us show that the points (2, –2), (8, 4), (5, 7) and (–1, 1) are the vertices of a rectangle.


Let


A = (2, - 2)


B = (8, 4)


C = (5, 7)


D = (- 1, 1)


Distance between two points =


AB


BC


CD


DA


Let’s join A and C, and B and D.


AC


BD = =


Since AB = CD, BC=AD and AC=BD, it is a rectangle.


(Opposite sides are equal; diagonals are equal)


More from this chapter

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11

Let us show that the three points (2, 2), (–2, –2) and are the vertices of an equilateral triangle.

 12

Let us show that the points (–7, 12), (19, 18), (15, –6) and (–11, –12) form a parallelogram when they are joined orderly.

 14

Let us show that the points (2, 5), (5, 9), (9, 12) and (6, 8) form a rhombus when they are joined orderly.

 15

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