Polygons and the Coordinate Plane (Grade 6)

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Polygons and the Coordinate Plane

1. 
What shape is created when the following points are plotted and connected?

A (1, 2)
B (4, 7)
C (7, 2)
D (4, -10)
Graph Numbered through 10
  1. kite
  2. rhombus
  3. rectangle
  4. parallelogram
2. 
Three vertices of a rectangle are listed below. What is the value of the missing vertex to complete the shape?

A (5, 9)
B (5, 3)
C (12, 3)
D ?
Graph 20x20 Quadrant 1
  1. (5, 9)
  2. (12, 9)
  3. (5, 12)
  4. (12, 5)
3. 
When plotted, which set of ordered pairs creates an isosceles triangle?
Graph Numbered through 10
  1. (0, 0), (5, 0), (7, 2)
  2. (-9, 1), (-2, 3), (0, 5)
  3. (2, 6), (0, -6), (4, -8)
  4. (-6, -1), (-5, -9), (-4, -1)
4. 
Three vertices of a polygon are listed below:

A (-3, 4)
B (4, 4)
C (-3, -2)

Which of the following ordered pairs for point D would create a trapezoid?
Graph Numbered through 10
  1. (-4, 3)
  2. (4, -2)
  3. (6, -2)
  4. (-6, -3)
5. 
On the coordinate plane, plot the following points:

A(1,1); B(6,1); C(8,1); D(10,1); F(3,4); J(8,4); and K(12,4).

Connect the appropriate points to form the following line segments. AF, AD, FK, KD, JD, JC, and JB.

Find the area of:

a) Parallelogram ABJF

b) Triangle BDJ

c) Triangle DKJ
Grid 10x10



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