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GeoGebra Classroom

Defining Rotations

Author:kathleenh

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

Starting at zero degrees, change the degree of rotation from 0 to 360 degrees. What do you notice?

Question 2

Unselect "Circular Arcs" and select "A'". Move the slider to change the degree of rotation. What happens to A'?

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Question 3

Move point P to point A. How does this affect A'?

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Question 4

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

Select all that apply

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

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Question 5

Write a precise definition for a rotation, using the following words or objects:

Point A
Point A'
Point P
center of rotation
angle of rotation, d
circle
radius
counterclockwise

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Question 6

Which of the following are properties of the rotated triangle A'B'C'?

Select all that apply

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

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