Point $A (3, - 2)$ on reflection in the x-axis is mapped as A' and point B on reflection in the y-axis is mapped onto $B^{'} (- 4, 3) .$
(i) Write down the coordinates of A' and B.
(ii) Find the slope of the line A'B, hence find its inclination.

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Solution

$A (3, - 2)$ mapped as $A^{'}$ .
On reflection along $x - a x i s$ $y$ changes to $- y$
$∴ A^{'} = (3, 2)$
Similarly $B = (4, 3)$
The slope of line A'B= $\frac{4 - 3}{3 - 2} = 1$
The inclination angle= $θ$
$t a n θ = 1 ∴ θ = 45^{0}$

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Point A(3,−2) on reflection in the x-axis is mapped as A' and point B on reflection in the y-axis is mapped onto B′(−4,3).(i) Write down the coordinates of A' and B.(ii) Find the slope of the line A'B, hence find its inclination.

A(3,−2) mapped as A′.On reflection along x−axis y changes to −y∴ A′=(3,2)Similarly B=(4,3)The slope of line A'B=4−33−2=1The inclination angle=θtanθ=1∴θ=450

Point $A (3, - 2)$ on reflection in the x-axis is mapped as A' and point B on reflection in the y-axis is mapped onto $B^{'} (- 4, 3) .$
(i) Write down the coordinates of A' and B.
(ii) Find the slope of the line A'B, hence find its inclination.

$A (3, - 2)$ mapped as $A^{'}$ .
On reflection along $x - a x i s$ $y$ changes to $- y$
$∴ A^{'} = (3, 2)$
Similarly $B = (4, 3)$
The slope of line A'B= $\frac{4 - 3}{3 - 2} = 1$
The inclination angle= $θ$
$t a n θ = 1 ∴ θ = 45^{0}$