The point (4, 1) and (- 2, 4) are reflected in the line y = 3. Find the coordinates of their images.

$(- 4, - 1), (2, - 4)$

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$(- 4, 1), (- 2, 2)$

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$(4, 5), (- 2, - 2)$

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$(4, 5), (- 2, 2)$

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Solution

The correct option is D
$(4, 5), (- 2, 2)$

Reflection of (4,1) in y = 3 is (4,5). Here the x- coordinate will not change, but y coordinate shifts 4 units upwards so that y = 3 acts as a mirror.
Reflection of (-2,4) in y = 3 is (-2,2). Here the x- coordinate will not change, but y coordinate shifts 2 units downwards so that y = 3 acts as a mirror.

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