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Reflections Across the x- or y- Axis Practice and quick check answers-

Practice-
1. 2, 2
2. segment EF
3. -5, 6
4. 1
5. 2
Quick check-
1. A′(−4,1) , B′(−5,2) , and C′(−10,1)
2. Shift the reflected figure 1 unit to the left.
3. The vertices of triangle A′B′C′ are A′(−2,1) , B′(−6,3) , and C′(−1,3) .
4. size
5. -6, 3

2 answers

It looks like you're providing answers to a practice set and a quick check related to reflections across the x-axis or y-axis. To help clarify or check the correctness of the reflections, let's briefly go over the basic rules for reflecting points and shapes across the axes:

  • Reflection across the x-axis: If the original point is (x, y), the reflected point will be (x, -y).
  • Reflection across the y-axis: If the original point is (x, y), the reflected point will be (-x, y).

Now, let's review each of your responses and see what we can deduce:

Practice:

  1. If the original point is (2, 2) and you didn't specify the axis, this could be reflected across the x-axis to (2, -2) or across the y-axis to (-2, 2).
  2. For segment EF, reflection would depend on the coordinates of points E and F.
  3. If the original point is (-5, 6) and is reflected across the x-axis, the reflected point would be (-5, -6), and if reflected across the y-axis, it would be (5, 6).
  4. Assuming this pertains to a segment or shape, further details about the shape or coordinates are necessary to provide a reflection.
  5. Same as above—further context is needed.

Quick Check:

  1. Given reflected points A′(−4,1), B′(−5,2), C′(−10,1), it seems like these points might have originally been (4, 1), (5, 2), (10, 1) if reflected across the y-axis, or (-4, -1), (-5, -2), and (-10, -1) if across the x-axis.
  2. If you shift a reflected figure 1 unit to the left, the coordinates would change by subtracting 1 from each x-coordinate.
  3. Given vertices of triangle A′B′C′ as A′(−2,1), B′(−6,3), C′(−1,3), these seem to represent a reflection, likely across the y-axis if the original coordinates were (2, 1), (6, 3), (1, 3).
  4. If this refers to size comparison before and after reflection, reflections keep size unchanged, so this seems correct.
  5. If -6, 3 refers to another reflection, it would depend on the original coordinates.

If you need clarification or specific calculations based on any coordinates or shapes related to your practice problems, please provide that context, and I'd be happy to assist!

Than youuuuu, its 100% correct ^w^