Quadrants Worksheets - 15 Worksheets Library - Free Printable

Let’s work through this step by step.

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Part 1: Fill in the blanks for the coordinate plane

The coordinate plane is divided into four quadrants, numbered counterclockwise starting from the top right:

- Quadrant I → Top Right → (+, +)
- Quadrant II → Top Left → (–, +)
- Quadrant III → Bottom Left → (–, –)
- Quadrant IV → Bottom Right → (+, –)

Also, the axes are labeled:

- The horizontal line is the x-axis
- The vertical line is the y-axis
- The point where they cross is the origin (0, 0)

Looking at the diagram:

- The box pointing to the top of the vertical axis → should be y-axis
- The box pointing to the right end of the horizontal axis → should be x-axis
- The boxes inside each quadrant region → label them with Roman numerals and sign patterns

So filling in:

→ Top center box (pointing up): y-axis
→ Rightmost box (pointing right): x-axis
→ Quadrant boxes (top left to bottom right, going counterclockwise):

But note: In standard labeling, Quadrant I is top right, then II (top left), III (bottom left), IV (bottom right).

In the image, the quadrants are arranged as:

Top row:
Left box → Quadrant II
Right box → Quadrant I

Bottom row:
Left box → Quadrant III
Right box → Quadrant IV

And under each quadrant box, it says “(___)” — that’s for the sign pattern.

So:

- Quadrant I → (+, +)
- Quadrant II → (–, +)
- Quadrant III → (–, –)
- Quadrant IV → (+, –)

Also, there are two small red arrows near the origin — one pointing left along x-axis, one pointing down along y-axis? Actually, looking again — those might just indicate direction or be decorative. But the main thing is labeling the axes and quadrants correctly.

Wait — actually, re-examining the layout:

There are 6 blank boxes total:

1. One above the grid → points to top of y-axis → y-axis
2. One to the right of grid → points to right end of x-axis → x-axis
3. Four inside the quadrants:

- Top-left quadrant box → Quadrant II, signs (–, +)
- Top-right quadrant box → Quadrant I, signs (+, +)
- Bottom-left quadrant box → Quadrant III, signs (–, –)
- Bottom-right quadrant box → Quadrant IV, signs (+, –)

Yes.

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Part 2: Write the quadrant for each ordered pair

Recall:

- If both x and y are positive → Quadrant I
- If x negative, y positive → Quadrant II
- Both negative → Quadrant III
- x positive, y negative → Quadrant IV

Now go one by one:

1. (2, 5) → x=+ , y=+ → Quadrant I

2. (2, -8) → x=+ , y=– → Quadrant IV

3. (-1, 3) → x=– , y=+ → Quadrant II

4. (-3, 6) → x=– , y=+ → Quadrant II

5. (2, -8) → already did → Quadrant IV

6. (-2, -6) → x=– , y=– → Quadrant III

7. (-3, -5) → x=– , y=– → Quadrant III

8. (1, 6) → x=+ , y=+ → Quadrant I

Double-check:

- (2,5) → I ✔️
- (2,-8) → IV ✔️
- (-1,3) → II ✔️
- (-3,6) → II ✔️
- (2,-8) → IV ✔️ (same as #2)
- (-2,-6) → III ✔️
- (-3,-5) → III ✔️
- (1,6) → I ✔️

All correct.

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Final Answer:

Part 1 Labels:

- Top box: y-axis
- Right box: x-axis
- Top-left quadrant: Quadrant II (–, +)
- Top-right quadrant: Quadrant I (+, +)
- Bottom-left quadrant: Quadrant III (–, –)
- Bottom-right quadrant: Quadrant IV (+, –)

Part 2 Answers:

(2, 5) → Quadrant I
(2, -8) → Quadrant IV
(-1, 3) → Quadrant II
(-3, 6) → Quadrant II
(2, -8) → Quadrant IV
(-2, -6) → Quadrant III
(-3, -5) → Quadrant III
(1, 6) → Quadrant I