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IM 6.7.15 Lesson: Shapes on 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
Is your figure a polygon? Explain how you know.

Here are the coordinates for four polygons. Move the points, in order, to their locations on the coordinate plane

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

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

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

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

Find the area of Polygon 4 in this activity.

The following diagram shows Andre’s route through a maze. He started from the lower right entrance. What are the coordinates of the first two and the last two points of his route?

How far did he walk from his starting point to his ending point?

Show how you know.

Jada went into the maze and stopped at (-7, 2). Plot that point and other points that would lead her out of the maze (through the exit on the upper left side).

How far from must she walk to exit the maze?

Show how you know.