Defining Rotations

Move points A, B, C and P. Slide the slider to adjust the degree of rotation. Click the boxes to show the path and degree of rotation for A', B', and C'.

Question 1

[i]Starting at zero degrees, change the degree of rotation from 0 to 360 degrees.[/i][br][br][b]What do you notice?[/b]

Question 2

[i]Unselect "Circular Arcs" and select "A'". Move the slider to change the degree of rotation.[/i][br][br][b]What happens to A'?[/b][br][br]

Question 3

[i]Move point P to point A. [/i][br][br][b]How does this affect A'?[/b]

Question 4

[b]What is true about the path created by the rotation of A', B' and C' about point P?[/b]

C' path is a circular arc with center P A', B' and C' paths are concentric circles (circles with the same center) B' path is a circular arc with center P A' path is a circular arc with center P

Question 5

[b]Write a precise definition for a rotation, using the following words or objects:[br][/b][list][*][b]Point A[/b][/*][*][b]Point A'[/b][/*][*][b]Point P[/b][/*][*][b]center of rotation[/b][/*][*][b]angle of rotation, d[/b][/*][*][b]circle[/b][/*][*][b]radius[/b][/*][*][b]counterclockwise[/b][/*][/list]

Question 6

[b]Which of the following are properties of the rotated triangle A'B'C'?[/b]

A'B'C' has the same orientation as ABC The lengths of segments AB, BC and AC are preserved A'B'C' is congruent to ABC A'B'C' is similar to ABC The measures of angles A, B and C are preserved