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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 ? 180 degrees? 270 degrees clockwise?

Create a segment AB and a point C that is not on segment AB.

Rotate segment  around point 

Rotate segment  around point 

Construct the midpoint of segment AB with the Midpoint tool.

Rotate segment   around its midpoint. What is the image of ?

What happens when you rotate a segment ?

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  to triangle .

Describe a rigid transformation that takes triangle  to triangle .

Describe a rigid transformation that takes triangle  to triangle .

Do segments , and  all have the same length? Explain your reasoning.