Quadrants Worksheets - 15 Worksheets Library - Free Printable

Let's solve the problem step by step.

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Step 1: Understand the Coordinate Plane and Quadrants

The coordinate plane is divided into four quadrants by the x-axis and y-axis:

- Quadrant I: Top right — both x and y are positive (+, +)
- Quadrant II: Top left — x is negative, y is positive (−, +)
- Quadrant III: Bottom left — both x and y are negative (−, −)
- Quadrant IV: Bottom right — x is positive, y is negative (+, −)

Also:
- The x-axis is horizontal.
- The y-axis is vertical.
- The origin is at (0, 0).

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Step 2: Fill in the Blanks on the Coordinate Plane

We need to label the quadrants and axes correctly.

From the image:
- The top-left box is Quadrant II → coordinates: (−, +)
- The top-right box is Quadrant I → coordinates: (+, +)
- The bottom-left box is Quadrant III → coordinates: (−, −)
- The bottom-right box is Quadrant IV → coordinates: (+, −)

Now, label the axes:
- The horizontal axis is the x-axis
- The vertical axis is the y-axis

So, fill in:
- Top blank (above y-axis): y-axis
- Right blank (next to x-axis): x-axis
- Left blank (next to x-axis): x-axis
- But since it’s pointing to the left side of the x-axis, it’s still part of the x-axis

Wait — actually, looking at the arrows:
- The arrow pointing up from the origin goes to y-axis
- The arrow pointing right from the origin goes to x-axis
- The arrow pointing left from the origin also points to x-axis, but we can just label it as x-axis

But likely:
- The top blank is y-axis
- The right blank is x-axis
- The left blank is x-axis — but perhaps only one label is needed.

Actually, the two horizontal arrows (left and right) point to the x-axis, and the vertical arrow points to the y-axis.

So:
- Top blank: y-axis
- Right blank: x-axis
- Left blank: x-axis — but probably redundant; maybe just one label for x-axis.

But the image shows three blanks:
1. Above the y-axis → y-axis
2. To the right of the x-axis → x-axis
3. To the left of the x-axis → x-axis (same axis)

So:
- Top blank: y-axis
- Right blank: x-axis
- Left blank: x-axis

But typically, you’d just say the x-axis runs horizontally, and y-axis vertically.

So final labels:
- Top: y-axis
- Right: x-axis
- Left: x-axis

And quadrants:
- Top-left: Quadrant II, (−, +)
- Top-right: Quadrant I, (+, +)
- Bottom-left: Quadrant III, (−, −)
- Bottom-right: Quadrant IV, (+, −)

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Step 3: Determine the Quadrant for Each Ordered Pair

Use the sign rules:

| Point | x | y | Quadrant |
|-------|---|---|----------|
| (2, 5) | + | + | I |
| (-1, 3) | − | + | II |
| (2, -8) | + | − | IV |
| (-3, 6) | − | + | II |
| (-2, -6) | − | − | III |
| (1, 6) | + | + | I |
| (-3, -5) | − | − | III |

Now fill in the blanks:

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

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✔ Final Answer:

#### Fill in the blanks on the coordinate plane:

- Top blank (vertical arrow): y-axis
- Right blank (horizontal arrow): x-axis
- Left blank (horizontal arrow): x-axis

- Quadrant I: (+, +)
- Quadrant II: (−, +)
- Quadrant III: (−, −)
- Quadrant IV: (+, −)

#### Write the quadrant for each ordered pair:

1. (2, 5) → Quadrant I
2. (-1, 3) → Quadrant II
3. (2, -8) → Quadrant IV
4. (-3, 6) → Quadrant II
5. (-2, -6) → Quadrant III
6. (1, 6) → Quadrant I
7. (-3, -5) → Quadrant III

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✔ This completes the worksheet!