Rotations and Compositions of Transformations

How do you get from the blue triangle to the red triangle?

• reflection over y = 2, translate right 5

• rotate 180 degrees

• rotate 270 degrees

• translate right 5 and reflect over the y-axis

• do the cha cha slide

Tags

CCSS.8.G.A.3

Select all transformations that maintain angle measure and side length

• Translations

• Rotations

• Dilations

• Reflections

• Symmetry

Tags

CCSS.HSG.CO.A.2

Identify the transformations:

• translation and rotation

• translation and reflection

• rotation and reflection

• translation and dilation

• two translations

Tags

CCSS.8.G.A.3

What transformation gets you from Triangle ABC to Triangle A"B"C"?

Tags

CCSS.8.G.A.3

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

• Reflection over x-axis, then Rotation of 90 Degrees

• Rotation of -90 Degrees, then Reflection over y-axis

• Reflection over y-axis, then Rotation of -90 Degrees

• Rotation of 90 Degrees, then Reflection over x-axis

Tags

CCSS.8.G.A.3

Name the series of transformations that maps ABC onto DEF

• reflect over x then translate left 6 up 1

• reflect over y then translate down 6 left 1

• translate right 6 down 1, then reflect over x

• rotate 90 clockwise then reflect over y

Tags

CCSS.8.G.A.3

Describe the transformations that map ABC onto A"B"C"

• translate 5 up and 1 left then reflect over y

• translate 5 down and 1 left, then reflect over y

• reflect over y=x then translate left 8

• reflect over x then rotate 90 clockwise

Tags

CCSS.8.G.A.3

How do you get from the red triangle to the orange triangle?

• reflection over the y-axis and then the x-axis

• rotate 270 degrees and reflect over y = 2

• reflection over the y-axis and translate up 7

• rotate 180 degrees and reflect over y = 2

• translate up 7, translate right 6, and then reflect over the x-axis

Tags

CCSS.8.G.A.3

How do you get from the green triangle to the orange triangle?

• rotate clockwise 90 degrees

• rotate counterclockwise 180 degrees

• translate right 11 and up 9, then translate down 3 and left 2

• translate right 12 and up 4

• reflect over the y-axis then the x-axis

Tags

CCSS.8.G.A.3

Let's build on that door example! That's a real-world example of rigid motions. In the real world, rigid motions don't usually have such simplicity and objects go through multiple transformations (hence why we learn compositions). Give 2 example of real-world compositions of rigid motions.

Tags

CCSS.8.G.A.3