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

Given:

The point is T(-3,7).

To find:

The image T' after .

Solution:

, it means reflection across x-axis is followed by reflection across y-axis.

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

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

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

step-by-step explanation:

my gg bhitch

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4