Question

Write the coordinates of the vertices after a rotation of 270º counterclockwise around the origin.

a) A' (9, 9)
b) B' (9, 0)
c) C' (2, -9)
d) D' (0, -9)

Answer 1

To find the vertices after a 270º counterclockwise rotation, switch each point's x and y values and change the sign of the new x. The transformed coordinates are A'' (-9, 9), B'' (0, 9), C'' (9, 2), and D'' (9, 0).

Step-by-step explanation:

To find the coordinates of the vertices after a rotation of 270º counterclockwise around the origin, we can use the following transformation equations:

• For a 270º counterclockwise rotation, x' becomes -y and y' becomes x.

Applying this to the given coordinates:

1. A' (9, 9) becomes A'' (-9, 9).
2. B' (9, 0) becomes B'' (0, 9).
3. C' (2, -9) becomes C'' (9, 2).
4. D' (0, -9) becomes D'' (9, 0).