Polygons EFGH and E′F′G′H′ are shown on the following coordinate grid:
What set of transformations is performed on EFGH to form E′F′G′H′? (1 point)
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 polygon EFGH is shown with vertex E on ordered pair 2, 2, vertex F on ordered pair 2, 4, vertex G on ordered pair 3, 1 and vertex H on ordered pair 3, 5. A polygon E prime F prime G prime H prime is shown with vertex E prime on ordered pair negative 1, 2, vertex F prime on ordered pair negative 3, 2, vertex G prime on ordered 0, 3, and vertex H prime on ordered pair negative 4, 3.
A translation 1 unit to the right followed by a 90 degrees counterclockwise rotation about the origin
A translation 1 unit to the right followed by a 270 degrees counterclockwise rotation about the origin
A 270 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the right
A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the right
The correct answer is: A translation 1 unit to the right followed by a 90 degrees counterclockwise rotation about the origin.
This can be observed by comparing the coordinates of the corresponding vertices.
For the translation, each vertex is shifted 1 unit to the right. For example, vertex E goes from (2, 2) to (-1, 2).
Then, for the rotation, each vertex undergoes a 90 degrees counterclockwise rotation about the origin. For example, vertex E' goes from (-1, 2) to (-1, -2).