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Question
Draw the following:
A figure which has reflection symmetry but no rotational symmetry
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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) | |||
In the given figure, find the image of the line segment AB in the line PQ:
Each of the points A (0, 4), B (0, 10), C (0, – 4), D (0, – 6) and E (0, 0) is reflected in y-axis 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:
Construct a triangle XYZ, in which XY = YZ = ZX = 4.5 cm. Draw all its lines of symmetry.
Mark two points A and B 5.5 cm apart. Draw a line PQ so that A and B are symmetric with respect to the line PQ. Give a special name to line PQ.
In the following case, construct a point that is symmetric to the given point P with respect to the given line AB.
Find the number of lines of symmetry in the following shapes. How will you check your answers?
Which of the following are reflections of each other?
