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Rotations around the origin

Students

1. Graph triangle ABC with coordinates A( 1,1) B(4,1) and C (5,4) 2. Place point D at the origin 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)? (x,y) --> ( , )?

Task #2

1. Graph any triangle and a point at the origin. 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)? (x, y) ---> ( , )