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Question
Examine the following figure carefully, draw line(s) of symmetry in whichever figure possible:
Solution
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Complete the following table:
| Point | Reflection in | ||
| x-axis | y-axis | origin | |
| (i) (8, 2) | |||
| (ii) (5, 6) | |||
| (iii) (4, −5) | |||
| (iv) (6, −2) | |||
| (v) (−3, 7) | |||
| (vi) (−4, 5) | |||
| (vii) (−2, −7) | |||
| (viii) (−6, −3) | |||
| (ix) (4, 0) | |||
| (x) (−7, 0) | |||
| (xi) (0, −6) | |||
| (xii) (0, 7) | |||
| (xiii) (0, 0) | |||
A point P (7,3) is reflected in the x-axis to point P’. The point P’ is further reflected in v-axis to point P” Find :
(i) the coordinates of P’
(ii) the co-ordinates of P”
(iii) the image of P (7, 3) in origin.
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’.
For the shaded portion given below, draw all the possible lines of symmetry:
Find the alphabets in the box which have Reflection symmetry
| A | M | P | E |
| D | I | K | O |
| N | X | S | H |
| U | V | W | Z |
The three digit number 101 has rotational and reflection symmetry. Give five more examples of three digit numbers which have both rotational and reflection symmetry
Does it look the same on half a turn? Discuss.
The distance of the image of a point (or an object) from the line of symmetry (mirror) is ______ as that of the point (object) from the line (mirror).
Find the number of lines of symmetry in the following shapes. How will you check your answers?
Find the number of lines of symmetry in the following shapes. How will you check your answers?
