Question

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

• A. -12
• B. 12
• C. 0
• D. -6

Answer 1

The correct option is A

-12

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)
$\therefore$ The value of $c+d$ = $-12$