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Which correctly shows a polygon on the coordinate plane that was drawn using the coordinates (−1,−4)

, (3,−2)
, and (3,−5)
?(1 point)
Responses

A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 1 comma 4 right parenthesis, left parenthesis 3 comma 2 right parenthesis, and left parenthesis 3 comma 5 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 1 comma 4 right parenthesis, left parenthesis 3 comma 2 right parenthesis, and left parenthesis 3 comma 5 right parenthesis.

A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 3 comma negative 2 right parenthesis, left parenthesis negative 3 comma negative 5 right parenthesis, and left parenthesis negative 1 comma negative 4 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 3 comma negative 2 right parenthesis, left parenthesis negative 3 comma negative 5 right parenthesis, and left parenthesis negative 1 comma negative 4 right parenthesis.

A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis 3 comma negative 2 right parenthesis, left parenthesis 3 comma negative 5 right parenthesis, and left parenthesis 4 comma negative 4 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis 3 comma negative 2 right parenthesis, left parenthesis 3 comma negative 5 right parenthesis, and left parenthesis 4 comma negative 4 right parenthesis.

A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 1 comma negative 4 right parenthesis, left parenthesis 3 comma negative 2 right parenthesis, and left parenthesis 3 comma negative 5 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 1 comma negative 4 right parenthesis, left parenthesis 3 comma negative 2 right parenthesis, and left parenthesis 3 comma negative 5 right parenthesis.

1 answer

To determine which option correctly shows a polygon drawn using the coordinates \((-1, -4)\), \((3, -2)\), and \((3, -5)\), let's analyze the provided coordinates:

  1. Plotting the points:

    • \((-1, -4)\) is in the third quadrant.
    • \((3, -2)\) is in the fourth quadrant.
    • \((3, -5)\) is in the fourth quadrant, directly below \((3, -2)\).

  2. Forming the shape: The coordinates create a shape where:

    • Point \((-1, -4)\) connects to \((3, -2)\) and then to \((3, -5)\).
    • This configuration suggests a right triangle, where \((3, -2)\) and \((3, -5)\) share the same x-coordinate.

  3. Looking at the options:

    • The correct option will include the vertices exactly as listed above.

The option that correctly reflects the coordinate points is: "A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: \((-1, -4)\), \((3, -2)\), and \((3, -5)\)."

This option directly matches the coordinates you provided and correctly describes the configuration of those points on the coordinate plane.