Rotations around the origin

Students
1. Graph triangle ABC with coordinates A( 1,1) B(4,1) and C (5,4) [br]2. Place point D at the origin[br]3. Rotate the triangle 90 counter clockwise.
Question 1
What are the new coordinates of image A'B'C'?
Question 2
Can you write a rule for what happens to any coordinate (x,y)?[br][br](x,y) --> ( , )?
Task #2
1. Graph any triangle and a point at the origin.[br]2. Rotate it 180 degrees
Question #3
Write in the coordinates of your triangle and the new coordinates after the 180 degree rotation.
Question 4
Can you write a rule for what happens to any point (x, y)?[br][br](x, y) ---> ( , )
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Information: Rotations around the origin