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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)

1 answer

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)