Question

If reciangle ABCD is in quadrant II, and rotated 270 degrees counterciockwise around the origin, then what quadrant will rectangle A'B'C'D' be in ? Quadrant l Quadrant II Quadrant lll Quadrant IV

Answer 1

Quadrant IV.

1) Let's Draw this to give us a better idea.

In a 270º CCW Rotation, the rule is every coordinate to be translated

(x.y) ---(y,-x)

2) Let's give to our quadrilateral

A(-2,3) ---- A'(3,2)

B(-4, 3) -----B'(3,4)

C(-6, 4) -----C' (4,6)

D( -8, 4) ---- D' (4, 8)

And so forth

So Quadrant IV is the answer.