Chapter 7

Coordinate Geometry


INTRODUCTION

You know that in chess, the Knight moves in ‘L’ shape or two and a half steps (see figure). It can jump over other pieces too. A Bishop moves diagonally, as many steps as are free in front of it.

Find out how other pieces move. Also locate Knight, Bishop and other pieces on the board and see how they move.

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Consider that the Knight is at the origin (0, 0). It can move in 4 directions as shown by dotted lines in the figure. Find the coordinates of its position after the various moves shown in the figure.

Do This
i. From the figure write coordinates of the points A, B, C, D, E, F, G, H.
ii. Find the distance covered by the Knight in each of its 8 moves i.e. find the distance of A, B, C, D, E, F, G and H from the origin.
iii. What is the distance between two points H and C? and also find the distance between two points A and B
Distance Between two points.

The two points (2, 0) and (6, 0) lie on the X-axis as shown in figure.
It is easy to see that the distance between two points A and B as 4 units.
We can say the distance between points lying on X-axis is the difference between the x-coordinates.



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