Advertisements
Advertisements
Question
The point P (3, – 8) is reflected in origin to point Q. The Point Q is further reflected in the x-axis to point R. Find :
(i) the co-ordinates of Q
(ii) the co-ordinates of R
(iii) the image of P (3, – 8) in the y-axis.
Advertisements
Solution
(i) The image of the given point P (3, – 8) when reflected in origin is Q whose co-ordinates will be (- 3, 8).

(ii) The image of Q (- 3, 8) when reflected in x-axis is R whose co-ordinates will be (-3,-8)
(iii) Tlie image of P (3, 8) in y-axis is R whose co-ordinates are (- 3, – 8).
APPEARS IN
RELATED QUESTIONS
Each of the points A (0, 7), B (8, 0), C (0, − 5), D (− 7, 0) and E (0, 0) are reflected in origin to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.
Mark points A (4, 5) and B (− 5, 4) on a graph paper. Find A’, the image of A in x-axis and B’, the image of B in x-axis.
Mark A’ and B’ also on the same graph paper. Join AB and A’ B’ and find if AB = A’ B’?
Examine the following figure carefully, draw line(s) of symmetry in whichever figure possible:

In the following case, construct a point that is symmetric to the given point P with respect to the given line AB.

Draw all the possible lines of symmetry for the given figure below:

In the following case, construct a point that is symmetric to the given point P with respect to the given line AB.

Observe various commonly seen objects such as tree leaves, birds in flight, pictures of historical buildings, etc. Find symmetrical shapes among them and make a collection of them.
Look at the figure in the white box. On which of the dotted lines will you keep the mirror so that you get shape (b)? Also, tell which part of the picture will be hidden when we keep the mirror on the dotted line.

Have you ever seen a windmill? What is it used for?
Find the number of lines of symmetry in the following shapes. How will you check your answers?

