Question

HELP!

After a rotation, A(-3, 4) maps to A'(4, 3), B(4, -5) maps to B'(-5, -4), and C(1,6) maps to C'(6, -1). Which rule
describes the rotation?

R0, 90°
R0, 180°
Ro, 270°
RO, 360°​

Answer 1

Answer: Choice C, Ro, 270

270 degree counterclockwise rotation around the origin

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Check out the diagram below. In the diagram, I only focus on points A and A'.

We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is
`(x,y) \to (y,-x)` which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation

The other points follow the same idea.