Translate Reflect And Rotate

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

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

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)

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.

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If RQ is rotated 180 degrees about the origin and then translated 1 unit right and 1 unit to down, what are the endpoints of the resulting image?

• R' (1, -1) Q' (-1, 2)

• R' (2, -2) Q' (0, 1)

• R' (0, 0) Q' (2, -3)

• R' (0, -2) Q' (-3, 1)

If QR is rotated 90 degrees clockwise about the origin and then translated 2 units to the left and 3 units up, what are the endpoints of the resulting image?

• Q'(1, 2) R'(-4, 4)

• Q'(-1, -3) R'(1, 2)

• Q'(-3, 1) R'(2, -1)

• Q'(-5, 4) R'(0, 2)

Which sequence of transformations is used to transform the original image to the final image? Original: ABCD Final: A" B" C"D"

• Reflect over the x-axis and then rotate clockwise 90 around the origin.

• Rotate counterclockwise 90 around the origin and then translate 8 units left.

• Reflect over the y-axis and then rotate counterclockwise 90 around the origin.

• Rotate clockwise 90 around the origin and then translate 8 units left.

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that \Delta ABC\cong\Delta DEF

• Reflect △ABC across the x-axis, then translate it down 1

• Reflect △ABC across the x-axis, then translate it up 1

• Reflect △ABC across the y-axis, then translate it down 1

• Reflect △ABC across the y-axis, then translate it up 1