8 7- 1. -7 -6 -5 -4 -3 -2 -1 0 6 7. 8 9 10 11 -1 A -2- -3 4. 3. 2. 4. 3. 2.

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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The provided image displays a coordinate plane with points representing the vertices of a parallelogram labeled as A, B, and C.

### Detailed Description of the Graph:

- **Coordinate Plane**: The graph consists of a standard x-y coordinate plane with the x-axis ranging from -7 to 11 and the y-axis ranging from -3 to 9.
- **Points**:
  - **Point A**: Located at coordinates (5, -2).
  - **Point B**: Located at coordinates (8, 3).
  - **Point C**: Located at coordinates (4, 8).

### Accompanying Text:
Below the graph, there is an instructional prompt:
"3 vertices of a parallelogram ABCD are shown in the applet. What are the coordinates of point D?"

### Educational Objective:
The aim is for students to determine the coordinates of the fourth vertex, D, to complete the parallelogram with given vertices A, B, and C.

To solve this, students would analyze the given points and understand properties of parallelograms, such as opposite sides being equal in length and parallel.

---

This resource is designed to enhance understanding of geometric concepts using coordinate graphs and can serve as a practical problem-solving exercise for students learning about parallelograms and coordinates in a coordinate plane.
Transcribed Image Text:The provided image displays a coordinate plane with points representing the vertices of a parallelogram labeled as A, B, and C. ### Detailed Description of the Graph: - **Coordinate Plane**: The graph consists of a standard x-y coordinate plane with the x-axis ranging from -7 to 11 and the y-axis ranging from -3 to 9. - **Points**: - **Point A**: Located at coordinates (5, -2). - **Point B**: Located at coordinates (8, 3). - **Point C**: Located at coordinates (4, 8). ### Accompanying Text: Below the graph, there is an instructional prompt: "3 vertices of a parallelogram ABCD are shown in the applet. What are the coordinates of point D?" ### Educational Objective: The aim is for students to determine the coordinates of the fourth vertex, D, to complete the parallelogram with given vertices A, B, and C. To solve this, students would analyze the given points and understand properties of parallelograms, such as opposite sides being equal in length and parallel. --- This resource is designed to enhance understanding of geometric concepts using coordinate graphs and can serve as a practical problem-solving exercise for students learning about parallelograms and coordinates in a coordinate plane.
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