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Using Coordinates to Classify & Complete Polygons (Grade 10)

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Using Coordinates to Classify & Complete Polygons

1. 
Randy is graphing a rectangle on a coordinate plane. Three of the vertices are located at (2, 3), (-2, 3), (2, -3).

What are the coordinates of the fourth vertex?
  1. (-2, -3)
  2. (-3, 2)
  3. (3, 2)
  4. (2, -3)
2. 
Suppose you were given a coordinate plane with points B(4, 4); C(4, -4); D(-6, -4) plotted.

If you wanted to place a new point E so that you could form a rectangle BCDE, where would you place it?
Graph 10x10
  1. (-4, -4)
  2. (-6, -6)
  3. (4, -6)
  4. (-6, 4)
3. 
What shape is created by connecting the points A(-1,-6), B(3,2), C(7,-6)?






4. 
What shape is created by connecting the points A(2,-5), B(4,2), C(7,6)?






5. 
Determine the most precise name for quadrilateral ABCD with vertices A(0,4); B(3,0); C(0,-4); D(-3,0).






6. 
What shape is created by connecting the points A(2,-5), B(2,7), C(7,7), D(7,-5)?






7. 
Determine the most precise name of quadrilateral ABCD given the following vertices:
A(-1,0); B(-1,3); C(2,4); D(2,1).






8. 
What shape is created by connecting the points A(-4,-6), B(3,6), C(8,6), D(1,-6)?






9. 
The diagonals of quadrilateral ABCD intersect at E(-1,4). Two vertices of ABCD are A(2,7) and B(-3,5). What must the coordinates of C and D be in order to ensure that ABCD is a parallelogram?
Graph 10x10






10. 
What shape is created by connecting the points A(-15,16), B(4,15), C(4,-6), D(-15,-12)?






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