# Shapes on the Coordinate Plane

Warmup

Sort the coordinates in general form to their right quadrants.

Activity #1

Drawing figures in the coordinate plane. • Draw a figure in the coordinate plane below with at least three of following properties:

6 vertices ​
1 pair of parallel sides ​
At least 1 right angle​
2 sides the same length​

(1.) Is your figure above a polygon?

(2.) Explain how you know.

• Draw a square with one vertex on the point (-3, 5) and a perimeter of 20 units.
• Use the Text tool to write the coordinates of each other vertex.

• Plot and connect the following points to form a polygon: (-3, 2), (2, 2), (-1, -4), (-1, -2), (-3, -2), (-3, 2)

Find the perimeter of the polygon above.

Activity #2

`Draw a Polygon Using Points on the Axes.`

In the two applets below are the coordinates of a polygon. • Move the points of each polygon, in order, to their locations on the coordinate plane.

Polygon 1: (-7,4), (-8,5), (-8,6), (-7,7), (-5,7), (-5,5).

Polygon 2: (4,3), (3,3), (2,2), (2,1), (3,0), (4,0), (5,1), (5,2).

Activity #3

`Draw a Polygon Using Points on the Axes.`

In the two applets below are the coordinates of a polygon. • Move the points, in order, to their locations on the coordinate plane.

Polygon 3: (-8,-5), (-8,-8), (-5,-8), (-5,-5).

Polygon 4: (-5,1), (-3,3), (-1,-2), (0,3), (-3,3).

Challenge #1

The coordinates of a rectangle are  (3, 0), (3, -5), (4, 0), and (-4, -5).

(1.) What is the length and width of this rectangle?

(2.) What is the perimeter of the rectangle?

(3.) What is the area of the rectangle?

Challenge #2

The following diagram shows Andre’s route through a maze. He started from the lower right entrance. Quiz Time