Unit 3 - Rigid Motions - Isometries

Question 1

Definition of Isometry (1)

Answer 1

A Transformation That…

Preserves distance

Question 2

Definition of Direct Isometry (2)

Answer 2

A Transformation That…
1. Preserves distance
2. Preserves ORIENTATION

Question 3

Definition of Opposite Isometry (2)

Answer 3

A Transformation That…
1. Preserves distance
3. Doesn’t preserve orientation

Question 4

What are 3 examples of Isometries

Answer 4

1. Reflections
2. Translations
3. Rotations

Question 5

What is a nonexample of Isometries?

Answer 5

Dilations

Question 6

What are two examples of Direct Isometries?

Answer 6

1. Translation
2. Rotation

Question 7

What is one example of Opposite Isometry?

Answer 7

1. Reflection

Question 7

What are three nonexamples of Opposite Isometry?

Answer 7

1. Dilation
2. Rotation
3. Translation

Question 8

What are two non example of Direct Isometries?

Answer 8

1. Dilation
2. Reflection

Question 9

Why does rotation preserve orientation but reflections don’t?

Answer 9

Rotation: Points stay in the same sequence

Reflection: Sequence of points is reversed

If you rotate the picture, you change its angle, but the image itself stays the same. The parts of the picture remain in the same order, just in different positions.

If you flip the picture , it creates a mirror image. Everything appears reversed which completely changes the order of the parts of the picture.

Question 10

Definition of Orientation

Answer 10

1. Way we read labels of a figure
2. Either Clockwise or Counterclockwise