Question

State the co-ordinates of the following points under reflection in the line x = 0 :

(i) (-6, 4) (ii) (0, 5) (iii) (3, -4)
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Answer 1

Reflection in the line $x=0$ implies the reflection in the $y-axis$, and we know when a point is reflected in the $y-axis$, the value of the ordinate remains the same, while the sign of the abscissa changes.

Symbolically, it is represented as,
$M_y(x,y)=(-x,y)$
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Therefore,

(i) reflection of (-6, 4) under reflection in the line x = 0 is (6, 4).
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(ii) reflection of (0, 5) under reflection in the line x = 0 is (0, 5)
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(iii) reflection of (3, -4) under reflection in the line x = 0 is (-3, -4)
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