Let be a point on the Cartesian plane.

MATHEMATICS · Multi-part · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Let

Q(-3,4)

be a point on the Cartesian plane. (i) Plot the point

Q

and state the quadrant in which it lies. (ii) Reflect

Q

in the

x

-axis to obtain the point

Q_1

. Write the coordinates of

Q_1

and plot it. (iii) Reflect

Q

in the

y

-axis to obtain the point

Q_2

. Write the coordinates of

Q_2

. (iv) Reflect

Q

in the origin to obtain the point

Q_3

. Write the coordinates of

Q_3

. (v) Compare the abscissae and ordinates of

Q,\,Q_1,\,Q_2

and

Q_3

, and state the relationships you observe.