IM 8.1.8 Lesson: Rotation Patterns
Here is a right isosceles triangle. Rotate triangle ABC 90 degrees clockwise around B.
Here is a right isosceles triangle. Rotate triangle ABC 180 degrees clockwise around B.
Here is a right isosceles triangle. Rotate triangle ABC 270 degrees clockwise around B.
What would it look like when you rotate the four triangles 90 degrees clockwise around [math]B[/math]? 180 degrees? 270 degrees clockwise?
Create a segment AB and a point C that is not on segment AB.
Rotate segment [math]AB[/math] [math]180^\circ[/math]around point [math]B[/math].
Rotate segment [math]AB[/math] [math]180^\circ[/math]around point [math]C[/math].
Construct the midpoint of segment AB with the Midpoint tool.
[img]data:image/png;base64,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[/img][br]Rotate segment [math]AB[/math] [math]180^\circ[/math] around its midpoint. What is the image of [math]A[/math]?
What happens when you rotate a segment [math]180^\circ[/math]?
Here are two line segments.
Is it possible to rotate one line segment to the other? If so, find the center of such a rotation. If not, explain why not.
Here is a diagram built with three different rigid transformations of triangle ABC.
Describe a rigid transformation that takes triangle [math]ABC[/math] to triangle [math]CDE[/math].
Describe a rigid transformation that takes triangle [math]ABC[/math] to triangle [math]EFG[/math].
Describe a rigid transformation that takes triangle [math]ABC[/math] to triangle [math]GHA[/math].
Do segments [math]AC[/math], [math]CE[/math], [math]EG[/math], and [math]GA[/math] all have the same length? Explain your reasoning.
IM 8.1.8 Practice: Rotation Patterns
For the figure shown here, rotate segment CD 180 degrees around point D.
For the figure shown here, rotate segment CD 180 degrees around point E.
For the figure shown here, rotate segment CD 180 degrees around point M.
Here is an isosceles right triangle.
Draw these three rotations of triangle ABC together in the applet below: [br][list=1][*]Rotate triangle ABC 90 degrees clockwise around A. [/*][*]Rotate triangle ABC 180 degrees around A. [/*][*]Rotate triangle ABC 270 degrees clockwise around A.[/*][/list]
Each graph shows two polygons ABCD and A'B'C'D'.
[img]data:image/png;base64,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[/img][br] [br]Describe a sequence of transformations that takes [math]ABCD[/math] to [math]A'B'C'D'[/math].
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[/img][br] [br]Describe a sequence of transformations that takes [math]ABCD[/math] to [math]A'B'C'D'[/math].
Lin says that she can map Polygon A to Polygon B in the applet below using [i]only [/i]reflections. Do you agree with Lin? Explain your reasoning.