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8. X 7 5 4 3 W 2 Y 0 1 2 3 4 5 6 7 8

8. X 7 5 4 3 W 2 Y 0 1 2 3 4 5 6 7 8

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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What is the area of the parallelogram?

### Graph of a Parallelogram on the Cartesian Plane The given image depicts a parallelogram plotted on a Cartesian coordinate plane. The parallelogram is outlined with a bold, purple line, and its vertices are labeled as follows: - **X**: (7, 8) - **Y**: (1, 1) - **W**: (7, 3) - **Z**: (1, 6) ### Explanation of the Graph 1. **Axes and Grid**: - The horizontal axis represents the x-axis, while the vertical axis represents the y-axis. - The graph is divided into a grid with each square representing one unit both in the x-direction and y-direction. 2. **Vertices of the Parallelogram**: - Vertex **X** is located at (7, 8) on the grid. - Vertex **Y** is located at (1, 1) on the grid. - Vertex **W** is located at (7, 3) on the grid. - Vertex **Z** is located at (1, 6) on the grid. 3. **Shape and Structure**: - The figure formed is a parallelogram as opposite sides are parallel and of equal length. This graph is useful for illustrating basic concepts in geometry, such as the properties of parallelograms and their representation on a coordinate plane.
Transcribed Image Text:### Graph of a Parallelogram on the Cartesian Plane The given image depicts a parallelogram plotted on a Cartesian coordinate plane. The parallelogram is outlined with a bold, purple line, and its vertices are labeled as follows: - **X**: (7, 8) - **Y**: (1, 1) - **W**: (7, 3) - **Z**: (1, 6) ### Explanation of the Graph 1. **Axes and Grid**: - The horizontal axis represents the x-axis, while the vertical axis represents the y-axis. - The graph is divided into a grid with each square representing one unit both in the x-direction and y-direction. 2. **Vertices of the Parallelogram**: - Vertex **X** is located at (7, 8) on the grid. - Vertex **Y** is located at (1, 1) on the grid. - Vertex **W** is located at (7, 3) on the grid. - Vertex **Z** is located at (1, 6) on the grid. 3. **Shape and Structure**: - The figure formed is a parallelogram as opposite sides are parallel and of equal length. This graph is useful for illustrating basic concepts in geometry, such as the properties of parallelograms and their representation on a coordinate plane.
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