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Area of Polygons Coordinate Planes - Printable Mathematics Worksheets - Wayground

Area of Polygons Coordinate Planes

13 questions

6th - 6th Grade

Mathematics

This free printable Grade 6 mathematics worksheet gives students 13 multiple-choice questions on area and polygons in coordinate planes. Students identify polygons by their number of sides and vertices, complete a rectangle from coordinate points, find horizontal and vertical distances between ordered pairs, and determine side lengths and perimeter from rectangle coordinates. The worksheet also practises reflecting points over the x- and y-axes, comparing absolute values, and finding the area of coordinate-plane figures, including a real-world tree-house design. It is designed for students who are building accuracy with coordinate geometry and connecting plotted points to measurement formulas. A complete answer key is included for efficient review, independent practice, or assessment.

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Area of Polygons Coordinate Planes

Total questions: 13

Name
Class
Date
1.
Which of the coordinates given could be the fourth point used to form a rectangle?
Which of the coordinates given could be the fourth point used to form a rectangle?
a)
(3, -6)
b)
(-3, -6)
c)
(-6, 3)
d)
(4, -6)
2.

I have 8 sides and 8 vertices. Who am I?

a)

Hexagon

b)

Square

c)

Triangle

d)

Octagon

3.
The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1) What is the length of the longest side of the…
The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)
What is the length of the longest side of the rectangle?
a)
4 units
b)
5 units
5 units
c)
6 units
d)
8 units
4.

Draw a coordinate plane. Find the distance between the following ordered pairs: (0, 6) and (0, -4)

a)

6 units

b)

4 units

c)

10 units

d)

11 units

5.

Find the distance between (-3, 4) and (-3, -8)

a)

4 units

b)

12 units

c)

8 units

d)

13 units

6.
The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1) What is the length of the longest side of the…
The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)
What is the length of the longest side of the rectangle?
a)
4 units
b)
5 units
5 units
c)
6 units
d)
8 units
7.
The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1) What is the perimeter of the rectangle?

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the perimeter of the rectangle?

a)

9 units

b)

12 units

c)

16 units

d)

20 units

8.

If the distance between two points on a coordinate plane is 7, and the first point is (5,-2), which could be the second point?

a)

(1, -2)

b)

(-2, -2)

c)

(5, 2)

d)

(-3,-2)

9.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
10.

Reflect (-2, 5) over the x axis.

Think: What will change? the X or the Y?

a)

(-2, -5)

b)

(2, 5)

c)

(2, -5)

11.

Which expression has the greatest value?

a)

| - 4 |

b)

| - 12 |

c)

- | - 15 |

d)

| 9 |

12.
You design a tree house using a coordinate plane. You plot the vertices of the floor at J (2, 1), K (2, 8), L(9, 8), and M…

You design a tree house using a coordinate plane. You plot the vertices of the floor at J (2, 1), K (2, 8), L(9, 8), and M (9, 1). The coordinates are measured in feet. What is the area of the tree house?

a)

28 feet2

b)

49 feet2

c)

56 feet2

d)

64 feet2

13.
What is the area of the figure?
What is the area of the figure? 
a)
12 square units
b)
24 square units
c)
18 square units
d)
36 square units
WaygroundAnswer Key

Area of Polygons Coordinate Planes

Total questions: 13

1.
a) (3, -6)
2.
d)

Octagon

3.
b) 5 units
5 units
4.
c)

10 units

5.
b)

12 units

6.
b) 5 units
5 units
7.
c)

16 units

8.
b)

(-2, -2)

9.
c) (-2, -4)
10.
a)

(-2, -5)

11.
b)

| - 12 |

12.
b)

49 feet2

13.
d) 36 square units

FAQs

What does this coordinate-plane worksheet cover?

This Grade 6 worksheet uses 13 multiple-choice questions to practise identifying polygons, completing rectangles from ordered pairs, finding coordinate distances, calculating rectangle side lengths and perimeter, reflecting points over the axes, comparing absolute values, and finding area. Students apply coordinate information to geometric measurements, including the area of a tree-house floor plotted on a coordinate plane.

How can I use this worksheet to teach polygons and measurement on a coordinate plane?

Introduce the worksheet by having students plot or inspect the given ordered pairs and describe how horizontal and vertical changes represent side lengths. Then use the rectangle and tree-house items to connect coordinate differences to perimeter and area, and discuss how reflecting over the x-axis or y-axis changes one coordinate. Finish with the multiple-choice questions as guided practice, partner review, or independent work.

What mistakes should I watch for on this coordinate-plane worksheet?

Students may calculate distance by adding coordinates with the wrong signs, especially when points share an x- or y-coordinate but lie on opposite sides of zero. Watch for confusing which coordinate changes during a reflection, choosing a polygon name from its appearance rather than its number of sides, and using a rectangle’s side length instead of multiplying length by width for area. Students may also forget that perimeter requires adding all four sides.

How do I assign and grade this coordinate-plane worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the 13 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The PDF option can also support schools that want to reduce screen time.

How can I differentiate this coordinate-plane worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the coordinate-plane questions, ordered pairs, and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options better support access to the polygon, reflection, distance, perimeter, and area items.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.