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How Can We Predict the New Position of a Shape After Reflection?

When you want to predict where a shape will end up after it bounces off a line, think of that line like a mirror! Here’s an easy way to do it, step-by-step:

  1. Find the Line of Reflection: This line could be the x-axis (the horizontal line), y-axis (the vertical line), or any line given, like y=2y = 2 or x=1x = -1.

  2. Measure the Distance: For each corner of your shape, check how far it is from the line of reflection. This is important because you want to make sure the new point is the same distance away from the line, but on the other side.

  3. Establish the New Points:

    • If you're reflecting over the x-axis, change the y-coordinates. For example, if you have a point (x,y)(x, y), it will become (x,y)(x, -y).
    • If you're reflecting over the y-axis, change the x-coordinates: (x,y)(x, y) becomes (x,y)(-x, y).
    • If the line is something like y=2y = 2, you’ll need to find the distance straight down to figure out where the new point will go.
  4. Draw the New Shape: Connect the new points together and there you go—you have your new shape!

  5. Double Check Your Work: It’s always a good idea to make sure each point is the same distance from the line. This ensures your reflection is correct.

Reflecting shapes can be a bit tricky at first, but once you learn these steps, it will get easier! Happy reflecting!

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How Can We Predict the New Position of a Shape After Reflection?

When you want to predict where a shape will end up after it bounces off a line, think of that line like a mirror! Here’s an easy way to do it, step-by-step:

  1. Find the Line of Reflection: This line could be the x-axis (the horizontal line), y-axis (the vertical line), or any line given, like y=2y = 2 or x=1x = -1.

  2. Measure the Distance: For each corner of your shape, check how far it is from the line of reflection. This is important because you want to make sure the new point is the same distance away from the line, but on the other side.

  3. Establish the New Points:

    • If you're reflecting over the x-axis, change the y-coordinates. For example, if you have a point (x,y)(x, y), it will become (x,y)(x, -y).
    • If you're reflecting over the y-axis, change the x-coordinates: (x,y)(x, y) becomes (x,y)(-x, y).
    • If the line is something like y=2y = 2, you’ll need to find the distance straight down to figure out where the new point will go.
  4. Draw the New Shape: Connect the new points together and there you go—you have your new shape!

  5. Double Check Your Work: It’s always a good idea to make sure each point is the same distance from the line. This ensures your reflection is correct.

Reflecting shapes can be a bit tricky at first, but once you learn these steps, it will get easier! Happy reflecting!

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