Question

Select all of the points being described that are located in Quadrant II.

(-17 , -9)
(4 , -13) reflected across the x-axis
(-15 , -9) reflected across the x-axis
(-16 , 5)
(6 , 1) reflected across the y-axis
(10 , -12) reflected across the y-axis
(11 , -3)

Answer 1

To determine which points lie in Quadrant II, we first need to recall that:

- Quadrant I is where both x and y coordinates are positive.
- Quadrant II is where x is negative, and y is positive.
- Quadrant III is where both x and y coordinates are negative.
- Quadrant IV is where x is positive, and y is negative.

Now, let's evaluate each point and its reflections:

1. **(-17 , -9)**: Both coordinates are negative. (not in Quadrant II)

2. **(4 , -13) reflected across the x-axis**: Reflection across the x-axis changes the y-coordinate. So it becomes (4 , 13). (not in Quadrant II)

3. **(-15 , -9) reflected across the x-axis**: This becomes (-15 , 9). The x-coordinate is negative and the y-coordinate is positive. (located in Quadrant II)

4. **(-16 , 5)**: The x-coordinate is negative and the y-coordinate is positive. (located in Quadrant II)

5. **(6 , 1) reflected across the y-axis**: Reflection across the y-axis changes the x-coordinate. So it becomes (-6, 1). The x-coordinate is negative and the y-coordinate is positive. (located in Quadrant II)

6. **(10 , -12) reflected across the y-axis**: This becomes (-10 , -12). Both coordinates are negative. (not in Quadrant II)

7. **(11 , -3)**: The x-coordinate is positive and the y-coordinate is negative. (not in Quadrant II)

The points located in Quadrant II are:
- (-15 , 9)
- (-16 , 5)
- (-6 , 1)