Question

The coordinates of a polygon are (2, 3), (4,7), (8,5), and (7,2). If the polygon rotates 90° clockwise about the origin, in which quadrant will the transformation lie? What are the new coordinates?

A)
Quad II; (-2, 3), (-4,7), (-8,5), and (-7,2)


B)
Quad IV; (3, -2), (7, -4), (5, -8), and (2, -7)


C)
Quad III; (-2, -3), (-4,-7), (-8,-5), and (-7,-2)


D)
Quad III: (-3, -2), (-7,-4)), (-5, -8), and (2, -7)

Answer 1

B)Quad IV; (3, -2), (7, -4), (5, -8), and (2, -7)

Explanation:

The coordinates of a polygon are (2, 3), (4,7), (8,5), and (7,2).

When the polygon rotates 90° clockwise about the origin, then polygon moves to fourth quadrant.

the ordered pair (x,y) ----> (-y,x)

(2, 3) ----> (3,-2)

(4,7) ----> (7,-4)

(8,5) ----> (5,-8)

(7,2) ----> (2,-7)

Quad IV; (3, -2), (7, -4), (5, -8), and (2, -7)

Answer 2

The original position of the polygon is in the first quadrant. A rotation of 90 degrees clockwise will take it to the 4th quadrant.

Therefore, the correct answer is Quad IV; (3, -2), (7, -4), (5, -8), and (2, -7)