Question

Consider the polygon GEOM with coordinate G(0,-2), E(-1,2), O(-5,1), and M(-5, -6). If we rotate GEOM 90° clockwise about the origin, then reflect over the y-axis, what are the coordinates of G'', E', O', and M''?

A) G''(2,0), E'(1,-2), O'(-1,-1), M''(1,5)
B) G''(2,0), E'(1,2), O'(-1,1), M''(1,-5)
C) G''(0,2), E'(2,1), O'(-1,5), M''(-6,5)
D) G''(0,2), E'(-2,1), O'(1,5), M''(-6,-5)

Answer 1

To rotate a point 90 degrees clockwise about the origin, use the rotation matrix.

Step-by-step explanation:

To rotate a point (x,y) 90 degrees clockwise about the origin, we can use the rotation matrix.

[ x' ] [ 0 -1 ] [ x ]

[ y' ] = [ 1 0 ] [ y ]

Using this matrix, we can find the new coordinates of each point:

• G''(0,-2) = (0, -2)
• O'(1,5) = (-1, 5)
• E'(-2,1) = (-1, 1)
• M''(1,-5) = (-1, -5)