What You Need To Know...
Transforming polygons to determine congruence, similarity, and symmetry.
- The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
- Items may include coordinate geometry.
- Items may include translations, reflections, rotations, dilations, and scale factors.
- Items may require that students provide the length of a segment or the x-coordinate (or the y-coordinate) of a point.
A top view of downtown Rockford is shown on the grid below, with Granite Park represented by quadrilateral ABCD. The shape of a new park, Mica Park, will be similar to the shape of Granite Park. Vertices L and M will be plotted on the grid to form quadrilateral JKLM, representing Mica Park.
Which of the following coordinates for L and M could be vertices of JKLM so that the shape of Mica Park is similar to the shape of Granite Park?
- L(4, 4), M(4, 3)
- L(7, 1), M(6, 1)
- L(7, 6), M(6, 6)
- L(8, 4), M(8, 3)
Pentagon ABCDE is shown below on a coordinate grid. The coordinates of A, B, C, D, and E all have integer values.
If pentagon ABCDE is rotated 90º clockwise about point A to create pentagon A'B'C'D'E', what will be the x-coordinate of E'?