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.
- Check your answer.
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.
- Check your answer.
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