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What is the length of ZX? Leave final answer as a square root

What is the length of ZX? Leave final answer as a square root

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 length of ZX? Leave final answer as a square root

### Understanding Parallelograms on a Coordinate Plane #### Diagram of a Parallelogram The image provided shows a parallelogram plotted on a coordinate plane. - **Vertices of the Parallelogram:** - **Vertex X** is located at the coordinates (7, 8). - **Vertex W** is located at the coordinates (7, 2). - **Vertex Y** is located at the coordinates (1, 1). - **Vertex Z** is located at the coordinates (1, 7). The parallelogram is drawn with thick purple lines to clearly highlight its shape and position on the coordinate plane. #### Coordinate Plane Explanation - The horizontal axis, labeled as **x**, ranges from 0 to 8. - The vertical axis, labeled as **y**, also ranges from 0 to 8. Each grid square represents one unit, providing a visual representation to easily identify and verify the coordinates of each vertex. #### Key Characteristics - Opposite sides of the parallelogram are equal in length and parallel. - The vertices are connected to form the shape, demonstrating geometric properties such as parallelism and equal lengths of opposite sides in a Cartesian grid system. This diagram and its explanation can be utilized to understand the geometric properties of parallelograms and how they can be plotted and identified on a coordinate plane.
Transcribed Image Text:### Understanding Parallelograms on a Coordinate Plane #### Diagram of a Parallelogram The image provided shows a parallelogram plotted on a coordinate plane. - **Vertices of the Parallelogram:** - **Vertex X** is located at the coordinates (7, 8). - **Vertex W** is located at the coordinates (7, 2). - **Vertex Y** is located at the coordinates (1, 1). - **Vertex Z** is located at the coordinates (1, 7). The parallelogram is drawn with thick purple lines to clearly highlight its shape and position on the coordinate plane. #### Coordinate Plane Explanation - The horizontal axis, labeled as **x**, ranges from 0 to 8. - The vertical axis, labeled as **y**, also ranges from 0 to 8. Each grid square represents one unit, providing a visual representation to easily identify and verify the coordinates of each vertex. #### Key Characteristics - Opposite sides of the parallelogram are equal in length and parallel. - The vertices are connected to form the shape, demonstrating geometric properties such as parallelism and equal lengths of opposite sides in a Cartesian grid system. This diagram and its explanation can be utilized to understand the geometric properties of parallelograms and how they can be plotted and identified on a coordinate plane.
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