IM 8.1.5 Lesson: Coordinate Moves

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GeoGebra Classroom Activities, IM 6 – 8 Math

Select all of the translations that take Triangle T to Triangle U. There may be more than one correct answer.

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Five points are plotted on the coordinate plane.

  1. Using the Pen tool or the Text tool, label each with its coordinates.
  2. Using the -axis as the line of reflection, plot the image of each point.
  3. Label the image of each point with its coordinates.
  4. Include a label using a letter. For example, the image of point  should be labeled . 

If the point were reflected using the -axis as the line of reflection, what would be coordinates of the image? What about  ?  ? Explain how you know.

The point R has coordinates (3,2).

 Without graphing, predict the coordinates of the image of point  if point  were reflected using the -axis as the line of reflection.

Check your answer by finding the image of R on the graph. Label the image of point R as R' using the Text or Pen tool.

What are the coordinates of ?

Suppose you reflect a point using the -axis as line of reflection. How would you describe its image?

Apply each of the following transformations to segment AB using the applet that follows. Use the Pen tool to record the coordinates.

In the applet below, rotate segment  90 degrees counterclockwise around center  by moving the slider marked 0 degrees. The image of  is named . What are the coordinates of ?

In the applet below, rotate segment  90 degrees counterclockwise around center  by moving the slider marked 0 degrees. The image of  is named . What are the coordinates of ?

In the applet below, rotate segment  90 degrees clockwise around  by moving the slider marked 0 degrees. The image of  is named  and the image of  is named . What are the coordinates of  and ?

Compare the two 90-degree counterclockwise rotations of segment . What is the same about the images of these rotations? What is different?

Suppose  and  are line segments of the same length. Describe a sequence of transformations that moves  to .

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