Q11 of 20 Page 52

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


Let us mark the points on a graph sheet and call them A, B, C and join the three points to form a triangle.


Using distance formula,


Let us calculate the distance between A-B, B-C and A-C.


The distance between two points, D =


AB =



BC =




CA =



AB=BC=CA


Hence, Triangle ABC is equilateral.


More from this chapter

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9

Let us find a point on x-axis which is equidistant from the two points (3, 5) and (1, 3).

 10

Let us write by calculation whether the three points O (0, 0), A(4, 3) and B(8, 6) are collinear.

 12

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

 13

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