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Coordinate Moves: IM 8.1.5
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1. Lesson 8.1.5
- IM 8.1.5 Lesson: Coordinate Moves
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2. Practice 8.1.5
- IM 8.1.5 Practice: Coordinate Moves
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Coordinate Moves: IM 8.1.5
IM 6 – 8 Math, GeoGebra Classroom Activities, Jul 30, 2020
“Coordinate Moves” from IM Grade 8 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 8.1.5
- IM 8.1.5 Lesson: Coordinate Moves
- Practice 8.1.5
- IM 8.1.5 Practice: Coordinate Moves
IM 8.1.5 Lesson: Coordinate Moves
Select all of the translations that take Triangle T to Triangle U. There may be more than one correct answer.
Five points are plotted on the coordinate plane.
- Using the Pen tool or the Text tool, label each with its coordinates.
- Using the -axis as the line of reflection, plot the image of each point.
- Label the image of each point with its coordinates.
- Include a label using a letter. For example, the image of point should be labeled .
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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.
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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.
Without graphing, predict the coordinates of the image of point if point were reflected using the -axis as the line of reflection. Font sizeFont size
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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 ?
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Suppose you reflect a point using the -axis as line of reflection. How would you describe its image?
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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 ?
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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 ?
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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 ?
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Compare the two 90-degree counterclockwise rotations of segment . What is the same about the images of these rotations? What is different?
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Suppose and are line segments of the same length. Describe a sequence of transformations that moves to .
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IM 8.1.5 Practice: Coordinate Moves
Here are some points. What are the coordinates of A, B, and C after a translation to the right by 4 units and up 1 unit? Plot these points on the grid, and label them A', B' and C'.
Here are some points. What are the coordinates of D, E, and F after a reflection over the y-axis? Plot these points on the grid, and label them D', E', and F'.
Here are some points. What are the coordinates of G, H, and I after a rotation about (0, 0) by 90 degrees clockwise? Plot these points on the grid, and label them G', H' and I'.
Describe a sequence of transformations that takes trapezoid A to trapezoid B in the applet below.
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Reflect polygon P using line l.
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