TRANSFORMATIONS – ROTATION EXPLORATION
- Suzanne Harper
Part 1: Rotating Quadrilaterals
1. Identify the angle of rotation used to transform the red figure to the gray figure. Describe your method for determining the angle.
2. How can we be sure that the angle measure you identified is correct?
3. Drag the vertices and sides of the red figure, observe and record how the image of the figure changes. Drag the center point and describe how the figures move.
Part 2: Rotating Triangles
4. Drag the vertices and sides of the original figure and observe how the triangles are related, also drag the center point P.
5. Move the center point so that it is located in the interior of the triangle. Describe the location of ΔA'B'C'. How does the location of P relate to ΔA'B'C'?
Part 3: Properties of Rotations
2. Drag the vertices and sides of the triangle around and describe the relationship between the angle formed by the red segments and the rotation.
5. How is the rotation related to an angle formed by segments connecting avertex and its rotated image?
Part 4: Locating the Center of Rotation
2. Construct both the center and angle of rotation that transforms the gray quadrilateral to the blue quadrilateral. By any means possible. Describe your process below.
4. Construct both the center and angle of rotation that transforms the pink triangle to the blue triangle without moving any of the figures in your sketch window. Describe your method of finding the angle and center of rotation.