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DS X Module 4 X G In the diac X /formatives/6298c6a6bfe10b22b330f97c Igebra 1 Week 11... EMERIT Scholar Inter.... ly E M Math-kd X General Info 6 7 8 9 -1 -3 -4 -5 -6 G -7 -8 -9 Each quadrilateral represents a newly planted garden. The garden represented by quadrilateral EFGH requires about fencing to enclose the region compared to the garden represented by quadrilateral ABCD. -6-5-4-3 H 9 8 -7 6 5 4 3 2 0 -2 -1 E 0 1 3 5 b Answered x V 1. G irregular p X Calculation X RC Rounding X Delaware State: Col.... # Course Selection F.... Exit Ticket

DS X Module 4 X G In the diac X /formatives/6298c6a6bfe10b22b330f97c Igebra 1 Week 11... EMERIT Scholar Inter.... ly E M Math-kd X General Info 6 7 8 9 -1 -3 -4 -5 -6 G -7 -8 -9 Each quadrilateral represents a newly planted garden. The garden represented by quadrilateral EFGH requires about fencing to enclose the region compared to the garden represented by quadrilateral ABCD. -6-5-4-3 H 9 8 -7 6 5 4 3 2 0 -2 -1 E 0 1 3 5 b Answered x V 1. G irregular p X Calculation X RC Rounding X Delaware State: Col.... # Course Selection F.... Exit Ticket

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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## Geometry: Quadrilaterals and Coordinate Planes ### Understanding Quadrilaterals and Their Regions In the diagram below, quadrilaterals ABCD and EFGH represent two distinct regions. All units are measured in meters. #### Graph Description - The coordinate plane features a grid and is divided into four quadrants. - Quadrilateral ABCD is plotted with the following points approximately: - A: (-3, 5) - B: (2, 1) - C: (5, -4) - D: (-1, -2) Each point is connected sequentially to form the quadrilateral. - Quadrilateral EFGH is not fully visible in the provided image, but it would typically be another polygon plotted within the same coordinate system. ### Important Concepts 1. **Coordinate Plane Basics**: - The x-axis runs horizontally, and the y-axis runs vertically. - Points are defined by (x, y) coordinates. 2. **Quadrilaterals**: - A quadrilateral is a polygon with four sides and four vertices. - ABCD and EFGH in the diagram are examples of general quadrilaterals. ### Usage in Real-life Scenarios These concepts can be used in various fields such as: - Urban planning for defining plots of land. - Computer graphics for rendering shapes. - Robotics for navigation and spatial awareness. Understanding how to read and plot shapes in a coordinate system is foundational knowledge for both advanced mathematics and real-world applications.
Transcribed Image Text:## Geometry: Quadrilaterals and Coordinate Planes ### Understanding Quadrilaterals and Their Regions In the diagram below, quadrilaterals ABCD and EFGH represent two distinct regions. All units are measured in meters. #### Graph Description - The coordinate plane features a grid and is divided into four quadrants. - Quadrilateral ABCD is plotted with the following points approximately: - A: (-3, 5) - B: (2, 1) - C: (5, -4) - D: (-1, -2) Each point is connected sequentially to form the quadrilateral. - Quadrilateral EFGH is not fully visible in the provided image, but it would typically be another polygon plotted within the same coordinate system. ### Important Concepts 1. **Coordinate Plane Basics**: - The x-axis runs horizontally, and the y-axis runs vertically. - Points are defined by (x, y) coordinates. 2. **Quadrilaterals**: - A quadrilateral is a polygon with four sides and four vertices. - ABCD and EFGH in the diagram are examples of general quadrilaterals. ### Usage in Real-life Scenarios These concepts can be used in various fields such as: - Urban planning for defining plots of land. - Computer graphics for rendering shapes. - Robotics for navigation and spatial awareness. Understanding how to read and plot shapes in a coordinate system is foundational knowledge for both advanced mathematics and real-world applications.
### Understanding Quadrilaterals and Fencing #### Diagram Explanation: In the image provided, we have a graph displaying two quadrilaterals labeled EFGH and ABCD planted on a coordinate grid. - **Quadrilateral ABCD** is plotted with its vertices at: - A - B - C - D - **Quadrilateral EFGH** is plotted with its vertices at: - E - F - G - H The coordinates for each vertex are not explicitly given, but they are plotted at specific points on the grid. #### Graph Details: The x-axis and y-axis range from -8 to 8. - **Quadrilateral EFGH** is oriented such that one of its edges lies parallel to the line connecting its corresponding vertices. - **Quadrilateral ABCD**, on the other hand, is oriented differently with respect to the axes. #### Problem Statement: The task requires determining the amount of fencing required for quadrilateral EFGH in comparison to quadrilateral ABCD. ### Text for Educational Website: Each quadrilateral represents a newly planted garden. The garden represented by quadrilateral EFGH requires about _________ fencing to enclose the region compared to the garden represented by quadrilateral ABCD. ### Steps to Solve: 1. **Identify the Coordinates**: Note the coordinates of each vertex of both quadrilaterals. 2. **Calculate the Perimeter**: Use the distance formula to calculate the lengths of each side and then add them up. 3. **Compare the Perimeters**: Compare the total lengths of fencing required for both quadrilaterals. ### Important Concepts: - **Distance Formula**: \[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] - **Perimeter**: The total length of all sides of the quadrilateral. ### Educational Value: This exercise helps understand the application of geometry and algebra in real-life scenarios such as gardening and landscaping, enhancing spatial awareness and problem-solving skills.
Transcribed Image Text:### Understanding Quadrilaterals and Fencing #### Diagram Explanation: In the image provided, we have a graph displaying two quadrilaterals labeled EFGH and ABCD planted on a coordinate grid. - **Quadrilateral ABCD** is plotted with its vertices at: - A - B - C - D - **Quadrilateral EFGH** is plotted with its vertices at: - E - F - G - H The coordinates for each vertex are not explicitly given, but they are plotted at specific points on the grid. #### Graph Details: The x-axis and y-axis range from -8 to 8. - **Quadrilateral EFGH** is oriented such that one of its edges lies parallel to the line connecting its corresponding vertices. - **Quadrilateral ABCD**, on the other hand, is oriented differently with respect to the axes. #### Problem Statement: The task requires determining the amount of fencing required for quadrilateral EFGH in comparison to quadrilateral ABCD. ### Text for Educational Website: Each quadrilateral represents a newly planted garden. The garden represented by quadrilateral EFGH requires about _________ fencing to enclose the region compared to the garden represented by quadrilateral ABCD. ### Steps to Solve: 1. **Identify the Coordinates**: Note the coordinates of each vertex of both quadrilaterals. 2. **Calculate the Perimeter**: Use the distance formula to calculate the lengths of each side and then add them up. 3. **Compare the Perimeters**: Compare the total lengths of fencing required for both quadrilaterals. ### Important Concepts: - **Distance Formula**: \[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] - **Perimeter**: The total length of all sides of the quadrilateral. ### Educational Value: This exercise helps understand the application of geometry and algebra in real-life scenarios such as gardening and landscaping, enhancing spatial awareness and problem-solving skills.
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