Coordinate Geometry Level 1
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Point A is to be graphed in a quadrant, not on an axis, of the standard (x, y) coordinate plane below. If the x-coordinate and the y-coordinate of point A are to have the same signs, then point A must be located in:
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Quadrant I only
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Quadrant II only
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Quadrant III only
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Quadrant I or II only
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Quadrant I or III only
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Explore the basics of Coordinate Geometry with this Level 1 quiz. It assesses understanding of point plotting, midpoint calculation, slope determination, and area computation in the coordinate plane, essential for foundational geometry skills.
(53).jpg "Coordinate Geometry Level 1 - Quiz")
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- 2.
In the standard (x, y) coordinate plane, point X has coordinates (-4, 0) and point Y has coordinates (0, -8). What are the coordinates of the midpoint of XY?
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(-6, -1)
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(-2, -4)
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(0, 2)
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(2, 4)
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(6, -1)
Correct Answer
A. (-2, -4)Explanation
The midpoint of a line segment is the point that is exactly halfway between the two endpoints. To find the coordinates of the midpoint, we average the x-coordinates and the y-coordinates of the endpoints separately. In this case, the x-coordinate of the midpoint is (-4 + 0)/2 = -2, and the y-coordinate is (0 + (-8))/2 = -4. Therefore, the coordinates of the midpoint of XY are (-2, -4).Rate this question:
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- 3.
In the standard (x, y) coordinate plane, what is the slope of the line joining the points (3, 7) and (4, -8)?
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-15
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-1
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-1/7
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21/32
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15
Correct Answer
A. -15Explanation
The slope of a line is determined by the change in the y-coordinates divided by the change in the x-coordinates between two points on the line. In this case, the change in y is -8 - 7 = -15 and the change in x is 4 - 3 = 1. Therefore, the slope is -15/1 = -15.Rate this question:
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- 4.
What is the slope of the line that passes through the origin and the point (-6, 2)?
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3
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1/3
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-1/3
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-3
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-6
Correct Answer
A. -1/3Explanation
Remember the origin is the point (0, 0) and slope = (y2-y1)/(x2-x1)Rate this question:
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- 5.
What is the area, in coordinate units, of the triangle in the figure below?
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4.5
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9.0
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10.0
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12.5
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20.0
Correct Answer
A. 10.0Explanation
Area triangle = 1/2bh and the base is 5 and the height is 4.Rate this question:
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Current Version
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Apr 11, 2023Quiz Edited by
ProProfs Editorial Team -
Jun 17, 2010Quiz Created by
Annacabral
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