# 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)

A (1, 2)

B (4, 7)

C (7, 2)

D (4, -10)

- kite
- rhombus
- rectangle
- 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 ?

A (5, 9)

B (5, 3)

C (12, 3)

D ?

- (5, 9)
- (12, 9)
- (5, 12)
- (12, 5)

3.

When plotted, which set of ordered pairs creates an isosceles triangle?

- (0, 0), (5, 0), (7, 2)
- (-9, 1), (-2, 3), (0, 5)
- (2, 6), (0, -6), (4, -8)
- (-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?

A (-3, 4)

B (4, 4)

C (-3, -2)

Which of the following ordered pairs for point D would create a trapezoid?

- (-4, 3)
- (4, -2)
- (6, -2)
- (-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

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

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