Question

Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid:

What set of transformations is performed on ABCD to form A′B′C′D′?

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygonABCD is shown with vertex A on ordered pair 2, negative 2, vertex B on ordered pair 4, negative 2, vertex C on ordered pair 1, negative 3 and vertex D on ordered pair 5, negative 3. A polygonA prime B prime C prime D prime is shown with vertex A prime on ordered pair 1, 2 , vertex B prime on ordered pair 1, 4, vertex C prime on ordered 2, 1 and vertex D prime on ordered pair 2, 5.
A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
A translation 1 unit to the left, followed by a 90 degrees counterclockwise rotation about the origin
A 270 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
A translation 1 unit to the left followed by a 270 degrees counterclockwise rotation about the origin

Answer 1

Answer: A is at (2,-2). after 90 degree counter clockwise, it is at (2,2). Then, a transformation one unit to the left gets it to A', (1,2)

Explanation: