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).