### Classification of a QuadrilateralA quadrilateral is graphed in the coordinate plane below. Which classification best describes the quadrilateral (parallelogram, rhombus, etc.)?#### Justify your conclusion.**Graph Description:**The image displays a coordinate plane with a blue quadrilateral plotted on it. The quadrilateral is positioned as follows:- The x-axis ranges from -8 to 23 in increments of 1.- The y-axis ranges from -12 to 14 in increments of 1.The vertices of the quadrilateral are approximately at the following coordinates:1. (2, -1)2. (3, 10)3. (14, 12)4. (16, 0)The shape does not seem to possess equal side lengths or right angles, indicating it is not a square or a rectangle. The sides opposite each other do not appear to be equal and parallel, suggesting it is also not a parallelogram or a rhombus. Consequently, the quadrilateral in the graph is an irregular quadrilateral.**Conclusion:**Based on the analysis of the coordinates and the shape of its sides, the given quadrilateral is an irregular quadrilateral.

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A quadrilateral is graphed in the coordinate plane below. Which classification best describes the quadrilateral (parallelogram, rhombus, etc.)? Justify your conclusion. 14 13++ 12 10 8- 7- 2- 2 3 78 9 10 1 12 13 1 15 16 17 18 19 20 21 22 23 -3- 4- -5- -거 10 12 %24

A quadrilateral is graphed in the coordinate plane below. Which classification best describes the quadrilateral (parallelogram, rhombus, etc.)? Justify your conclusion. 14 13++ 12 10 8- 7- 2- 2 3 78 9 10 1 12 13 1 15 16 17 18 19 20 21 22 23 -3- 4- -5- -거 10 12 %24

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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### Classification of a Quadrilateral

A quadrilateral is graphed in the coordinate plane below. Which classification best describes the quadrilateral (parallelogram, rhombus, etc.)?

#### Justify your conclusion.

**Graph Description:**
The image displays a coordinate plane with a blue quadrilateral plotted on it. The quadrilateral is positioned as follows:
- The x-axis ranges from -8 to 23 in increments of 1.
- The y-axis ranges from -12 to 14 in increments of 1.

The vertices of the quadrilateral are approximately at the following coordinates:
1. (2, -1)
2. (3, 10)
3. (14, 12)
4. (16, 0)

The shape does not seem to possess equal side lengths or right angles, indicating it is not a square or a rectangle. The sides opposite each other do not appear to be equal and parallel, suggesting it is also not a parallelogram or a rhombus. Consequently, the quadrilateral in the graph is an irregular quadrilateral.

**Conclusion:**
Based on the analysis of the coordinates and the shape of its sides, the given quadrilateral is an irregular quadrilateral.

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