Rigid Motions

Rigid Motions:

Translations, Reflections, Rotations ​

Poll

How was your weekend?

• Good!

• It was okay!

• I was bored..

• I'll tell you later.

Poll

Who is excited for spring break!?

• TOO EXCITED, 2 WEEKS TO GO!

• NOT SOON ENOUGH, 2 WEEKS TO GO :(

• I want to be at school and learn math....

Poll

Which is better in your opinion?

​Quick Review:

Translations: Moving a shape left, right, down, or up a certain amount of units.

​

Reflections: Mirroring a shape across a line of reflection.​

Multiple Choice

Which transformation best describes a translation to the left?

Multiple Choice

What is the best way to describe this transformation? (P to Q)

• 4 right, 4 down

• 4 right, 1 down

• 1 right, 4 down

Multiple Choice

What type of transformation is this? (ABC to A'B'C')

• Translation to the right

• Reflection over x-axis

• Reflection over y-axis

Multiple Choice

What type of transformation is this? (ABC to A'B'C')

• Translation to the left

• Reflection over x-axis

• Reflection over y-axis

Multiple Choice

What type of transformation is this? (ABC to A'B'C')

• Translation down

• Reflection over x-axis

• Reflection over y-axis

​Video Introduction: https://www.youtube.com/watch?v=1sxmI4Y1K3s

Chapter 6+7: Rotations

​Rules:

- ​Always rotate counter clockwise, to the left

​

- Only rotate 90^o, 180^o, 270^o

​

- AROUND THE ORIGIN.​

Chapter 6+7: Rotations

​Rotation of 90^o

• Moves over one quadrant. ​

​

• (x, y) -> (-y, x)

Chapter 6+7: Rotations

​Rotation of 180^o

• Moves over two quadrant. ​

​

• (x, y) -> (-x, -y)

Chapter 6+7: Rotations

​Rotation of 270^o

• Moves over two quadrant. ​

​

• (x, y) -> (y , -x)

Chapter 6+7: Rotations

Multiple Choice

Which rotation best describes a 90^o rotation?

Multiple Choice

Which rotation best describes a 90^o rotation?

Multiple Choice

Which rotation best describes a 180^o rotation?

Multiple Choice

Which rotation best describes a 180^o rotation?

Multiple Choice

Which rotation best describes a 270^o rotation?

Multiple Choice

Which rotation best describes a 270^o rotation?

Multiple Choice

Which rotation best describes this image?

• 90

• 180

• 270

Multiple Choice

Which rotation best describes this image?

• 90

• 180

• 270

Multiple Choice

Which rotation best describes this image?

• 90

• 180

• 270