Question

Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?

Answer 1

Given:

Point is T(-3,8).

To find:

The coordinates of T' after $R(y-axis)\circ R(x-axis)$.

Solution:

We know that, $R(y-axis)\circ R(x-axis)$ means the figure reflected across the x-axis then reflected across y-axis.

If a figure reflected across x-axis, then

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

$T(-3,8)\to T_1(-3,-8)$

If a figure reflected across y-axis, then

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

$T_1(-3,-8)\to T'(-(-3),-8)$

$T_1(-3,-8)\to T'(3,-8)$

Therefore, the required point is T'(3,-8).