Question

Rotate (-7,5) 90 degrees clockwise about the origin and then translate the new point left 6

Answer 1

`P`

Explanation:

Given

`Point - (-7,5)`

90 degrees clockwise rotation

6 points left translation

Required

The new point

Apply the first transformation

90 degrees clockwise transformation

When a point P (x,y) is rotated in the clockwise direction by 90 degrees, the new point is: P' (y, -x)

So:

`P = (-7,5)` becomes

`P' = (5,7)`

Apply the second transformation

6 points left translation

To do this, we simply subtract 6 from the x coordinate

`P' = (5,7)` becomes

`P`

`P`