Question

.Plot P(0, 2) and Q(3, 2). Reflect P in the x-axis
to get P' and reflect Q in the origin to get Q'.
(i) Write the co-ordinates of P' and Q'.
(ii) What is the geometrical figure formed
by joining PQP'Q’?
(iii) Find its perimeter and area.
(iv) Name two points from the figure which
are invariant on reflection in y-axis.​​

Answer 1

hiA point P is its own image under the reflection in a line I. Describe the position of point the P with respect to the line 1.

Solution 2

Since, the point P is its own image under the reflection in the line I. So, point P is an invariant point.

Hence, the position of point P remains unaltered.

Question 3

State the co-ordinates of the following points under reflection in x-axis:

(i) (3, 2)

(ii) (-5, 4)

(iii) (0, 0)

Solution 3 (3)

The co-ordinate of the given point under reflection in the x-axis is (3,-2).

(ii) (-5, 4)

The co-ordinate of the given point under reflection in the x-axis is (-5, -4).

(iii) (0, 0)

The co-ordinate of the given point under reflection in the x-axis is (0, 0).