Question

One of the sides of square ABCD is a line segment with the endpoints A( -6,9) and B( -2,3). If square ABCD id rotated 90 clockwise around the origin to form square A'B'C'D, what are the coordinates of the endpoints of line A'B'?

Answer 1

After a 90-degree clockwise rotation around the origin, the coordinates of the endpoints A'B' are A'(9,6) and B'(3,2).

Step-by-step explanation:

To find the coordinates of the endpoints A'B' after a 90-degree clockwise rotation around the origin, we use rotation transformation rules. The rule for a 90-degree clockwise rotation of a point (x, y) around the origin is (y, -x).

Applying this rule to point A ( -6,9 ), after rotation, we get A' (9,6). Similarly, applying the rule to point B ( -2,3 ), after rotation, we get B' (3,2). Therefore, the endpoints of line A'B' after the rotation are A'(9,6) and B'(3,2).