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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 21PPS
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ceb686e-9646-4d7b-90c7-4082b66f6fbf%2F0b7890c3-f75a-4500-a967-5884705aaa61%2F8g24ee6_processed.jpeg&w=3840&q=75)
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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