Question

Place each description of an ordered pair reflected across an axis to the quadrant it would be located in.
(-2,8) reflected across the y-axis
(-6,-1) reflected across the x-axis
(-3,5) reflected across the y-axis
(-5,5) reflected across the x-axis
(7,1) reflected across the x-axis
(-3,-9) reflected across the y-axis
Reset Submit

Answer 1

To determine the quadrant of each reflected ordered pair, we need to apply the rules of reflection.

1. **Reflection across the y-axis**: The x-coordinate changes its sign, while the y-coordinate remains the same. Thus, (x, y) becomes (-x, y).
2. **Reflection across the x-axis**: The x-coordinate remains the same, while the y-coordinate changes its sign. Thus, (x, y) becomes (x, -y).

Now, let's evaluate each ordered pair:

1. **(-2, 8) reflected across the y-axis**:
- Reflection: (2, 8)
- Location: Quadrant I (positive x and positive y)

2. **(-6, -1) reflected across the x-axis**:
- Reflection: (-6, 1)
- Location: Quadrant II (negative x and positive y)

3. **(-3, 5) reflected across the y-axis**:
- Reflection: (3, 5)
- Location: Quadrant I (positive x and positive y)

4. **(-5, 5) reflected across the x-axis**:
- Reflection: (-5, -5)
- Location: Quadrant III (negative x and negative y)

5. **(7, 1) reflected across the x-axis**:
- Reflection: (7, -1)
- Location: Quadrant IV (positive x and negative y)

6. **(-3, -9) reflected across the y-axis**:
- Reflection: (3, -9)
- Location: Quadrant IV (positive x and negative y)

Now summarizing the locations:
- (-2, 8) → Quadrant I
- (-6, -1) → Quadrant II
- (-3, 5) → Quadrant I
- (-5, 5) → Quadrant III
- (7, 1) → Quadrant IV
- (-3, -9) → Quadrant IV

In summary:
- Quadrant I: (2, 8), (3, 5)
- Quadrant II: (-6, 1)
- Quadrant III: (-5, -5)
- Quadrant IV: (7, -1), (3, -9)