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CD has endpoints, C( -8, 3) and D (-8, -6) Rotate the segment about the origin, 90 clockwise. What are the coordinates of C' and D'?

Answer 1

Jayden Jackson

#C'=(3,8)" and " D'=(-6,8)#

#"Under a rotation clockwise about the origin of "90^@#

#"a point "(x,y)to(y,-x)#

#rArrC(-8,3)toC'(3,8)#

#rArrD(-8,-6)toD'(-6,8)#

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Answer 2

Autumn Armstrong

To rotate the segment CD about the origin (90^\circ) clockwise, we use the rotation formulas:

For a point ( (x, y) ) rotated (90^\circ) clockwise, the new coordinates ( (x', y') ) are given by: [ x' = y ] [ y' = -x ]

For point C(-8, 3): [ x' = 3 ] [ y' = -(-8) = 8 ]

So, the coordinates of C' are (3, 8).

For point D(-8, -6): [ x' = -6 ] [ y' = -(-8) = 8 ]

So, the coordinates of D' are (-6, 8).

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