Rotations - Exploration Activity

Move the points A, B and C on the preimage. What do you notice?

What do you notice about how the coordinates change with each rotation? Are there any patterns?

Select Point A rotation and put point A at (2, 5). What is the slope of the line from A to A'180? What is the slope of the line from A'90 to A'270? How are these lines related?

Still leaving Point A rotation selected, move point A to (3,5). To go from point O to point A, you would then move UP 3 UNITS and RIGHT 5 units. How would you move to get from point O to point A'180? What are you noticing?

Leave Point A rotation selected and point A at (3,5). To go from point O to point A'90, you would go UP 3 UNITS and LEFT 5 UNITS. How would you move to get from point O to point A'270? What are you noticing?

If you know the movement from point O to point A, summarize how you can find A'90, A'180 and A'270 starting at point O.