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polygons on coordinate grid

13 questions

5th - 6th Grade

Mathematics

This free printable worksheet is designed for Grade 5–6 mathematics practice with coordinate grids and polygons. Across 13 multiple-choice questions, students identify the x-axis and y-axis, write and interpret ordered pairs, locate the origin at (0,0), and read points from coordinate-grid diagrams. Students then apply coordinate reasoning to complete rectangles, squares, parallelograms, and right triangles by selecting possible vertices. They also analyze plotted locations and map-based scenarios to identify polygons such as triangles and squares. The worksheet includes a complete answer key, making it useful for guided practice, independent review, or a quick check of students’ understanding of coordinate-plane vocabulary and shape formation.

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polygons on coordinate grid

Total questions: 13

Name
Class
Date
1.

What is the horizontal number line on a coordinate plane called?

a)

y-axis

b)

x coordinate

c)

y coordinate

d)

x-axis

2.
Which axis runs vertically?
a)
x
b)
Y
3.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
4.

In an ordered pair, the first number is called the _ coordinate.

a)

2nd

b)

y

c)

x

d)

1st

5.

What is the intersection of the x-axis, and y-axis called?

a)

Center Point

b)

Perpendicular

c)

Origin

d)

Middle

6.
What are the coordinates for the origin on a coordinate plane?
a)
(0)
b)
(1,1)
c)
(0,0)
d)
(0,1)
7.

What is the ordered pair of the treasure chest?

a)

(1,9)

b)

(5,5)

c)

(3,1)

d)

(4,6)

8.
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)
9.
The drawing shows points  A,B, and C. At what location would you add point D to create a square ?
a)
( 2,1 )
b)
(4,5)
c)
( 5, 4 )
d)
( 5, 10 )
10.
Norman drew three points on a coordinate grid, as shown. If Norman draws a fourth point to form a parallelogram , which point could not be Norman's point ?
a)
( 5,5 )
b)
( 1,-1 )
c)
( -1,3 )
d)
( 2, -2 )
11.

Use the map of Arthur’s Adventureland Amusement Park to answer the question. Each unit on the grid represents .25 miles.

If you connected all of the attractions at Arthur’s Adventureland Amusement Park, what polygon does it create?

a)

A. Triangle

b)

B. Square

c)

C. Trapezoid

d)

D. Rectangle

12.

If you connected all of the identified locations in Rita’s neighborhood, what polygon does it create?

a)

A. Triangle

b)

B. Square

c)

C. Trapezoid

d)

D. Rectangle

13.
Jim plotted points A and B on the coordinate grid. He wants to add a point C to create a right triangle. Which of the following coordinates would not create a triangular ?
a)
(5,8)
b)
(6,8)
c)
(3,2)
d)
(3,7)
Answer Key

polygons on coordinate grid

Total questions: 13

1.
d)

x-axis

2.
b) Y
3.
c) (X,Y)
4.
c)

x

5.
c)

Origin

6.
c) (0,0)
7.
b)

(5,5)

8.
a) (3, -6)
9.
c) ( 5, 4 )
10.
d) ( 2, -2 )
11.
b)

B. Square

12.
a)

A. Triangle

13.
a) (5,8)

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FAQs

What does the Polygons on Coordinate Grid worksheet cover?

This Grade 5–6 mathematics worksheet uses 13 multiple-choice questions to build coordinate-grid skills and apply them to polygons. Students identify axes, ordered-pair conventions, and the origin, then select coordinates that complete rectangles, squares, parallelograms, and right triangles or identify polygons formed by plotted points.

How can I use this worksheet to teach polygons on a coordinate grid?

Begin by modeling the x-axis, y-axis, origin, and the rule that ordered pairs are written as (x, y). Then have students explain how a proposed fourth point changes the figure, using the coordinate-grid questions about rectangles, squares, parallelograms, and right triangles to connect vocabulary with shape properties.

What mistakes should I watch for when students complete this coordinate-grid worksheet?

Watch for students reversing the x- and y-values in an ordered pair, confusing the horizontal x-axis with the vertical y-axis, or failing to recognize the origin as (0,0). In the polygon questions, students may also choose a point without checking whether it completes the required shape or creates the stated triangle, rectangle, square, or parallelogram.

How do I assign and grade this Polygons on Coordinate Grid worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 13 multiple-choice questions. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app.

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

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the coordinate notation, answer choices, and map-based prompts are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when that better supports students working with the coordinate-grid questions.

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.

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