Answer:
1) CW 270° or CCW 90°
Step-by-step explanation:
In each case, you want to identify two transformations that will map the preimage to the image.
<h3>1)</h3>
We note the transformation maps ...
A(-7, 0) ⇒ A'(0, -7) . . . . . . CCW 90° or CW 270°
B(-4, -1) ⇒ B'(1, -4)
C(-7, 3) ⇒ C'(-3, -7)
These can be described by ...
(x, y) ⇒ (-y, x)
This transformation is equivalent to either of the two transformations ...
- rotation CW 270° about the origin
- rotation CCW 90° about the origin
<h3>2)</h3>
As above, rotation about the origin by 90° in one direction is the same as rotation 270° about the origin in the other direction. The attached graph shows the result either way. The two equivalent transformations are ...
- rotation CW 90° about the origin
- rotation CCW 270° about the origin
The coordinate transformation is ...
(x, y) ⇒ (y, -x)