Coordinates (4 Quadrants)

Reading, plotting and using coordinates in all four quadrants of a grid

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Try each question. If you're stuck, leave it and come back. The answer key is on the last page.

1
A point is 3 squares along the x-axis and 5 squares up the y-axis. What are its coordinates? The coordinates are (___)
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2
Which point has coordinates (4, 2)? A) 4 up, 2 along B) 4 along, 2 up C) 2 along, 4 up D) 2 up, 4 along
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3
Is this statement true or false? The point (0, 7) lies on the y-axis. A) True B) False
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4
What are the coordinates of the origin? The origin is at (___)
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5
In which quadrant does the point (-3, 4) lie? A) Top-right (first quadrant) B) Top-left (second quadrant) C) Bottom-left (third quadrant) D) Bottom-right (fourth quadrant)
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6
A point is reflected in the x-axis. It moves from (2, 3) to (2, ?). What is the y-coordinate of the new point? The new y-coordinate is ___
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7
Is this statement true or false? The point (-5, -2) is in the third quadrant. A) True B) False
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8
A square has vertices at (1, 1), (1, 4) and (4, 4). What are the coordinates of the fourth vertex? The fourth vertex is at (___)
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9
A shape is translated 3 units left and 2 units down. A vertex was at (5, 1). Where is it now? A) (8, 3) B) (2, -1) C) (2, 3) D) (8, -1)
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10
Point A is at (-2, 3) and point B is at (4, 3). What is the distance between them? The distance is ___ units
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Answer key

Coordinates (4 Quadrants) · for parents and teachers

1
3, 5
The x-coordinate (horizontal) is 3 and the y-coordinate (vertical) is 5, giving (3, 5).
2
4 along, 2 up
(4, 2) means 4 along the x-axis and 2 up the y-axis.
3
True
When x = 0, the point is on the y-axis. (0, 7) is 7 units up the y-axis.
4
0, 0
The origin is the point where both axes meet, at (0, 0).
5
Top-left (second quadrant)
(-3, 4) has a negative x (left) and positive y (up), placing it in the second quadrant (top-left).
6
-3
Reflecting (2, 3) in the x-axis gives (2, -3). The y-coordinate becomes negative.
7
True
Both coordinates are negative, so the point is in the third quadrant (bottom-left).
8
4, 1
The square has sides of length 3. The missing corner must be at (4, 1) to complete the shape.
9
(2, -1)
3 left: 5 - 3 = 2. 2 down: 1 - 2 = -1. The new position is (2, -1).
10
6
The points are on the same horizontal line. Distance = 4 - (-2) = 4 + 2 = 6 units.