Coordinate Geometry Level 1
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Coordinate Geometry ACT questions - Easy to Medium
Questions and Answers
- 1.
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:
- A.
Quadrant I only
- B.
Quadrant II only
- C.
Quadrant III only
- D.
Quadrant I or II only
- E.
Quadrant I or III only
Correct Answer
E. Quadrant I or III onlyExplanation
If the x-coordinate and the y-coordinate of point A are to have the same signs, it means that both coordinates will either be positive or negative. In Quadrant I, both x and y coordinates are positive, while in Quadrant III, both x and y coordinates are negative. Therefore, point A must be located in either Quadrant I or III only to satisfy the given condition.Rate this question:
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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?
- A.
(-6, -1)
- B.
(-2, -4)
- C.
(0, 2)
- D.
(2, 4)
- E.
(6, -1)
Correct Answer
B. (-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)?
- A.
-15
- B.
-1
- C.
-1/7
- D.
21/32
- E.
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)?
- A.
3
- B.
1/3
- C.
-1/3
- D.
-3
- E.
-6
Correct Answer
C. -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?
- A.
4.5
- B.
9.0
- C.
10.0
- D.
12.5
- E.
20.0
Correct Answer
C. 10.0Explanation
Area triangle = 1/2bh and the base is 5 and the height is 4.Rate this question:
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Apr 11, 2023Quiz Edited by
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Jun 17, 2010Quiz Created by
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