Transformation on the Coordinate Grid

The result of a transformation.

• Pre-image

• Image

Describe the Transformation

• Translation

• Rotation

• Reflection

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

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC≅ΔDEF

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

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

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

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

• Reflect △ABC across the x-axis, then translate it down 2

• Reflect △ABC across the y-axis, then translate it down 2

• Reflect △ABC across the x-axis, then translate it up 2

• Reflect △ABC across the y-axis, then translate it up 2

Which transformation will NOT transform the original shape into the transformed shape?

• A reflection about the x-axis

If RQ is rotated 180 degrees about the origin and then translated 1 unit down and 1 unit to the right, 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 270 degrees counterclockwise about the origin and then translated 2 units down and 3 units to the left, what are the endpoints of the resulting image?

• (-2, -3) R'(-4, 0)

• (-1, -4) R'(-3, -1)

• (1, 1) R'(-2, 1)

• (1, -1) R'(-1, 2)

If QR is rotated 90 degrees clockwise about the origin and then translated 3 units up and 2 units to the left, 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)

Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. Which additional transformation will map the image triangle back onto the original triangle?

• Rotation 270° counterclockwise around the origin

• Reflection across the line y = -x

• Rotation 180° counterclockwise around the origin

• Reflection across the line y = x