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Polygons and Coordinates

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Polygons and Coordinates

Hannah is mapping new areas on a dairy farm. Use the coordinate grid to plot points, connect them in order, and solve each geometry challenge. Coordinates are written (x, y).

Polygon Clues

Malik is checking the shapes on the farm map. Use each shape's sides and vertices to identify it.

1.A closed shape has 5 straight sides and 5 vertices. What is its name?

2.Wyatt says a hexagon has 8 sides. Is he correct? Explain using the number of sides.

3.A fenced pen has 4 sides. Which statement must be true if the pen is a polygon?

It is a quadrilateral.
It is a pentagon.
It is an octagon.
It must have four equal sides.

Plot the Farm Map

Before plotting, draw a coordinate grid with x- and y-axes numbered from 0 to 7. Plot each set of vertices on your grid. Connect the points in the order given, then connect the last point back to the first.

4.The milking area has vertices A(1, 1), B(5, 1), C(5, 3), and D(1, 3). Plot and connect them. Name the polygon.

5.The feed-storage area has vertices (2, 5), (4, 7), and (6, 5). Plot and connect them. What polygon do you make?

6.Malik maps a five-cornered silage area with vertices (1, 4), (2, 6), (4, 6), (5, 4), and (3, 3). Plot and connect them. How many sides does the polygon have, and what is its name?

Measure and Reason

For horizontal sides, find the difference between the x-coordinates. For vertical sides, find the difference between the y-coordinates.

7.A straight fence runs from P(2, 2) to Q(7, 2). How many coordinate units long is the fence?

8.A gate runs vertically from R(6, 1) to S(6, 6). How many coordinate units long is the gate?

9.A rectangular pen has vertices (1, 1), (6, 1), (6, 4), and (1, 4). Find its perimeter in coordinate units. Show how you worked it out.

10.Hannah plots a quadrilateral with vertices (2, 2), (6, 2), (6, 5), and (2, 5). What are the lengths of its horizontal and vertical sides?

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Polygons and Coordinates

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2 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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