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Polygons on Coordinate Planes
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Polygons on Coordinate Planes
Use the given coordinates to identify polygons and find side lengths. For horizontal or vertical sides, find the distance by subtracting the coordinates that change. Show your calculations.
Plotting and Identifying Polygons
1.The vertices J(2, 2), K(2, 6), L(6, 6), and M(6, 2) are joined in order, then M is joined to J. What polygon do they form?
2.The vertices N(1, 1), P(7, 1), and R(4, 5) are joined in order, then the shape is closed. How many sides does the polygon have?
3.Which method finds the length of a vertical side joining (5, 2) and (5, 7)?
- Add the y-coordinates.
- Subtract the y-coordinates and take the absolute value.
- Subtract the x-coordinates and take the absolute value.
- Multiply the coordinates.
4.Which expression gives the length of the horizontal segment from (2, 4) to (8, 4)?
- |8 − 2|
- |4 − 2|
- 8 + 2
- 8 × 4
Side Lengths and Perimeter
5.A rectangle has vertices A(1, 1), B(1, 5), C(6, 5), and D(6, 1), joined in order. Find the lengths of AB and BC.
6.Using the rectangle with vertices A(1, 1), B(1, 5), C(6, 5), and D(6, 1), calculate its perimeter.
7.Triangle TUV has vertices T(2, 3), U(9, 3), and V(5, 8). Find the length of side TU.
8.A quadrilateral has vertices W(2, 2), X(2, 7), Y(8, 7), and Z(8, 2), joined in order. Find its perimeter.
Coordinate Geometry in Context
9.Carlos maps a rectangular dog run with corners at (1, 2), (1, 8), (6, 8), and (6, 2). What are the lengths of its two different sides?
10.Carlos’s rectangular dog run has corners at (1, 2), (1, 8), (6, 8), and (6, 2). How many units of fencing are needed to go all the way around it?
11.Explain how to use the coordinates of two endpoints to find the length of a horizontal or vertical side.
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