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Question
Use a graph sheet for this question, take 2 cm = 1 unit along both x and y-axis:
- Plot the points A (3, 2) and B (5, 0). Reflect point A on the y-axis to A΄. Write co-ordinates of A΄.
- Reflect point B on the line AA΄ to B΄. Write the co-ordinates of B΄.
- Name the closed figure A’B’AB.
Solution
(a) A' (- 3, 2)
(b) Since we know that,
The reflection of point (a, b) with respect to line y = k is a point (a, 2k- b)
Here, k = 2, a = 5, b = 0
∴ B' = (5, 2 × 2 - 0)
∴ B' = (5, 4)
(c) A'B'AB is an arrowhead
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(ii) Reflect the points B, C and D on the y axis and name them as B',C'andD' respectively.
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