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प्रश्न
In the given figure, find the image of the line segment AB in the line PQ:
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उत्तर
Steps of Construction :
(i) From A and B, draw perpendiculars on PQ intersecting PQ at L and M.
(ii) Produce AL to A’ such that AL = LA’ and produce BM to B’ such that BM = MB’ A’B’ is the image of the line segment AB in PQ.
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संबंधित प्रश्न
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) | |||
Each of the points A (3, 0), B (7, 0), C (- 8, 0), D (- 7, 0) and E (0, 0) is reflected in x-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’.
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 (6, 4) and B (4, – 6) on a graph paper.
Find A’, the image of A in y-axis and B’, the image of B in the y-axis. Mark A’ and B’ also on the same graph paper.
Draw the line(s) of symmetry for the figure drawn below:
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.
Draw the following:
A figure which has reflection symmetry but no rotational symmetry
Copy the following drawing on squared paper. Complete such that the resulting figure has two dotted lines as two lines of symmetry.
How did you go about completing the picture?
