Question

The coordinates of the vertices of quadrilateral CDEF are C(6, 6), D(6, 8), E(8, 10), and F(10, 8). The figure is rotated 90° about the origin. What are the vertices of the resulting image, Figure C’D’E’F’? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.

-10, -8, -6, -4, -2, 2, 4, 6, 8,10

C’( ____ ), D’(._____), E’(.____ ), F’(_____)

Answer 1

see explanation

Explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x ), thus

C(6, 6 ) → C'(- 6, 6 )

D(6, 8 ) → D'(- 8, 6 )

E(8, 10 ) → E'(- 10, 8 )

F(10, 8 ) → F'(- 8, 10 )