Question

Point T is at (–3, 7). What are the coordinates of point T' after Ry-axis ∘ Rx-axis?

Answer 1

Given:

The point is T(-3,7).

To find:

The image T' after $R_{y-axis}\circ R_{x-axis}$.

Solution:

$R_{y-axis}\circ R_{x-axis}$, it means reflection across x-axis is followed by reflection across y-axis.

If a point is reflected across the x-axis, then

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

$T(-3,7)\to T_1(-3,-7)$

Then point is reflected across the y-axis. So,

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

$T_1(-3,-7)\to T'(3,-7)$

Therefore, the coordinates of point T' are (3,-7).