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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.