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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?
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?

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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