Rotation Patterns
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Rotate a Figure about a Point on the Figure.
(A). In the applet below is a right isosceles triangle. Perform the following operations:
- Rotate triangle ABC 90 degrees clockwise around B.
- Rotate triangle ABC 180 degrees around B.
- Rotate triangle ABC 270 degrees clockwise around B.
What would it look like when you rotate the triangle 4 times around B:
(1). through 90 degrees clockwise?
(2). through180 degrees clockwise?
(3). through 270 degrees clockwise?
(B). In the applet below is a right isosceles triangle. Perform the following operations:
- Rotate triangle ABC 90 degrees clockwise around A.
- Rotate triangle ABC 180 degrees around A.
- Rotate triangle ABC 270 degrees clockwise around A.
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Rotate a Line Segment about a Point.
(A). In the applet below is a line segment CD. Perform the following operations:
- Rotate segment CD 180 degrees around point D.
- Rotate segment CD 180 degrees around point E.
- Rotate segment CD 180 degrees around point M.
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Rotate a Line Segment about a Point.
- Create a segment AB and a point C that is not on segment AB.
- Rotate segment AB 180 degrees around point B.
- Rotate segment AB 180 degrees around point C.
- Construct the midpoint of segment AB with the midpoint tool
- Rotate segment AB 180 degrees around its midpoint.
(1). What is the image of A?
(2). What happens when you rotate a segment 180 degrees?
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Describe a sequence of transformations that takes 
to 
.
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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.
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Here is a diagram built with three different rigid transformations of triangle ABC.
(1). Describe a rigid transformation that takes triangle ABC to triangle CDE.
(2). Describe a rigid transformation that takes triangle ABC to triangle EFG.
(3). Describe a rigid transformation that takes triangle ABC to triangle GHA.