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.
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[/img]
Five points are plotted on the coordinate plane.
[br][list=1][*]Using the Pen tool or the Text tool, label each with its coordinates.[/*][*]Using the [math]x[/math]-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 [math]A[/math] should be labeled [math]A'[/math]. [/*][/list]
If the point [math]\left(13,10\right)[/math]were reflected using the [math]x[/math]-axis as the line of reflection, what would be coordinates of the image? What about [math]\left(13,-20\right)[/math] ? [math]\left(13,570\right)[/math] ? Explain how you know.
The point R has coordinates (3,2).
[img]data:image/png;base64,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[/img][br][br] [br]Without graphing, predict the coordinates of the image of point [math]R[/math] if point [math]R[/math] were reflected using the [math]y[/math]-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 [math]R'[/math]?
Suppose you reflect a point using the [math]y[/math]-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.
[br]In the applet below, rotate segment [math]AB[/math] 90 degrees counterclockwise around center [math]B[/math] by moving the slider marked 0 degrees. The image of [math]B[/math] is named [math]C[/math]. What are the coordinates of [math]C[/math]?
In the applet below, rotate segment [math]AB[/math] 90 degrees counterclockwise around center [math]A[/math] by moving the slider marked 0 degrees. The image of [math]B[/math] is named [math]D[/math]. What are the coordinates of [math]D[/math]?
In the applet below, rotate segment [math]AB[/math] 90 degrees clockwise around [math](0,0)[/math] by moving the slider marked 0 degrees. The image of [math]A[/math] is named [math]E[/math] and the image of [math]B[/math] is named [math]F[/math]. What are the coordinates of [math]E[/math] and [math]F[/math]?
Compare the two 90-degree counterclockwise rotations of segment [math]AB[/math]. What is the same about the images of these rotations? What is different?
Suppose [math]EF[/math] and [math]GH[/math] are line segments of the same length. Describe a sequence of transformations that moves [math]EF[/math] to [math]GH[/math].
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.