IM 8.1.1 Practice: Moving in the Plane

Move the slider or click the arrow to see shapes in different positions.
The six frames show a shapes different positions.
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[/img][br][br][br]Describe how the shape moves to get from its position in each frame to the next.
Move the slider or click the arrow to see shapes in different positions.
These five frames show a shape's different positions.
[img]data:image/png;base64,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[/img][br][br][br] [br][br]Describe how the shape moves to get from its position in each frame to the next.
Diego started with this shape.
[img]data:image/png;base64,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[/img][br]Diego moves the shape down, turns it 90 degrees clockwise, then moves the shape to the right. Describe the location of the shape after each move.
Use the applet to draw what the shape looks like after each move and help you answer the question. Move the shape or the red point to rotate it. Then click Next Move for the next movement.
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Information: IM 8.1.1 Practice: Moving in the Plane