The reflection of point A(-6, 10) about Y = 2 is (c, d). The value of c+d is ___.

(-6,-6)

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(6,6)

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(6,-10)

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(-6,-10)

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Solution

The correct option is A
(-6,-6)

Reflection about Y = 0,
X - coordinate remains the same
Y - coordinate's sign changes
Reflection about Y = a
X - coordinate remains the same
Y - coordinate's sign changes and value is reduced by 2a
The reflection point of A(-6, 10) about Y = 2

X = - 6

Y = -(10 - 2(2)) = - 6 => (-6, -6)
$∴$ The value of $c + d$ = $- 12$

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