Quadrilaterals in the Coordinate Plane with Graph

Look at the graph. Which of the quadrilaterals in the graph is a rhombus?

• Quadrilateral C

• Quadrilateral A

• Quadrilateral D

• Quadrilateral B

Quadrilateral ABCD has the coordinates A (-3,2), B (2,5), and D (0,-3). If Quadrilateral ABCD is a square, what are the coordinates of vertex C?

• (2,0)

• (0,5)

• (0,-2)

• (5,0)

The town plaza in a certain town is a parallelogram. The town's planning committee has decided to build a fountain at the center of the plaza. This sketch shows the corner points when placed on a coordinate grid. Which coordinates show where the fountain will be located?

• (0.5,2)

• (1.5,1)

• (2,0.5)

• (3,1.5)

A quadrilateral s graphed in quadrant I. After being reflected over the x-axis, the pre-image and the image are congruent.  This means that all of the following are the same about the quadrilaterals except the:

• length of the sides

• angle measures

• distance from the x axis     

• location on the coordinate plane

Quadrilateral PQRS is dilated with the origin as the center of dilation to create quadrilateral P'Q'R'S. The coordinates of each vertex are integers. Which statement is true?

• Quadrilateral P'Q'R'S' is congruent to quadrilateral PQRS.

• Quadrilateral P'Q'R'S' is similar to quadrilateral PQRS.

• Each angle measure of quadrilateral L'M'P'Q' will be 3.75 times the corresponding angle measure of quadrilateral LMPQ.

• Each angle measure of quadrilateral L'M'P'Q' will be 3.75 more than the corresponding angle measure of quadrilateral LMPQ.

• Each side length of quadrilateral L'M'P'Q' will be 3.75 times the corresponding side length of quadrilateral LMPQ.

• Each side length of quadrilateral L'M'P'Q' will be 3.75 more than the corresponding side length of quadrilateral LMPQ.

Groups:

(a) True

,

(b) False

• A' will be located at (8, 4).

• A'B'C'D' will be smaller than ABCD.

• The length of segment A'B' will be 5.8 units.

Which of the following is NOT a true statement about the dilation shown on the graph?

• The dilation represents an enlargement.

• The dilation changed the congruence and the orientation of the figure.

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park. Polygon LMNPQR will be dilated with the origin as the center of dilation to create polygon L'M'N'P'Q'R'. The vertex Q' will be located at (21, 7). Which rule best represents the dilation?