1 Answer

Broak · Answer 1 · 2021-01-17T06:46:50+0000

Given:

The point is A(-1,3).

To find:

The coordinates of the final image. If the given point reflected in

(a) x-axis

(b) line y=4.

Solution:

(a)

If a figure reflected across the x-axis, then

$(x,y)\to (x,-y)$

Using this rule, we get

$A(-1,3)\to A'(-1,-3)$

Therefore, the coordinates of the final image are A'(-1,-3).

(b)

If a figure reflected across the line y=4, then

$(x,y)\to (x,-(y-4)+4)$

$(x,y)\to (x,-y+4+4)$

$(x,y)\to (x,-y+8)$

Using this rule, we get

$A(-1,3)\to A'(-1,-3+8)$

$A(-1,3)\to A'(-1,5)$

Therefore, the coordinates of the final image are A'(-1,5).

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