Given quadrilateral ABCD (preimage), perform various transformations to find the coordinates for it's image, quadrilateral A'B'C'D'. In the "Algebra Window," double-click on "u" and "v" to change the values of the transformation matrix.
For a reflection over the x-axis , multiply the vertex matrix on the left by:
1 0 0 1
For a reflection over the y-axis , multiply the vertex matrix on the left by:
1 0 0 1
For a reflection over the line y = x , multiply the vertex matrix on the left by:
0 1 1 0
For a counterclockwise rotation of 90° , multiply the vertex matrix on the left by:
0 1 1 0
For a counterclockwise rotation of 180° , multiply the vertex matrix on the left by:
1 0 0 1
For a counterclockwise rotation of 270° , multiply the vertex matrix on the left by:
0 1 1 0