NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Homework Practice 9-5
Polygons on the Coordinate Plane
Graph each figure and classify it. Then find the area.
1. A(3, 6), B(9, 3), C(5, 3)
2. D(–1, –1), E(–1, 3), F(2, 4), G(2, –3)
Graph each rectangle with the given vertices. Then find the perimeter of each rectangle.
3. H(3, 0), I(3, 7), J(6, 7), K(6, 0)
4. L(–3, –2), M(–3, 2), N(2, 2), O(2, –2)
5. PARKS Anika is hiking on a rectangular trail at the national park. There are four resting spots along the corners of
the trail. On the map, they are marked with coordinates of (–2, 2), (1, 2), (1, –2), and (–2, –2). If each unit represents
1 mile, find the perimeter of the trail in miles, using the coordinates.
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NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Study Guide 9-5
Polygons on the Coordinate Plane
You can use coordinates of a figure to find its dimensions by finding the distance between two points.
To find the distance between two points with the same x-coordinates, subtract their y-coordinates.
To find the distance between two points with the same y-coordinates, subtract their x-coordinates.
Example
A rectangle has vertices A(1,1), B(1,3), C(5,3),
and D(5,1). Use the coordinates to find the length
of each side. Then find the perimeter of
the rectangle.
Width: Find the length of the horizontal lines.
𝐴𝐷 is 4 units long.
𝐵𝐶 is 4 units long.
Length: Find the length of the vertical lines.
𝐴𝐵 is 2 units long.
𝐷𝐶 is 2 units long.
Add the lengths of each side to find the perimeter. 4 + 4 + 2 + 2 = 12 units
So, rectangle ABCD has a perimeter of 12 units.
Course 1 • Chapter 9 Area
141