Composition, Transformation

Select all transformations that maintain angle measure and side length

• Translations

• Rotations

• Dilations

• Reflections

• Symmetry

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

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

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

Describe the difference between a rotation and a reflection, include details that allow you to identify a transformation in a problem.

Identify the transformations:

• translation and rotation

• translation and reflection

• rotation and reflection

• translation and dilation

• two translations

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.

Point A is rotated 180 degrees and then flipped over the y-axis. What is A" if A is (2,7)

• (2,7)

• (-2, -7)

• (-2, 7)

• (2, -7)

Find Q''' if Q(-3, 1) is reflected over the x-axis, then rotated 90 degrees, and then translated right 3 and up 4.

• (-3, 1)

• (4, 1)

• (4, -1)

• (-3,-1)

Triangle ABC is rotated 90 degrees and then translated up 4 and left 5. What is point A if point A''' is (1,2)?

• (2, -4)

• (2,6)

• (4, -2)

• (-2 -6)