Transformations Quadrilaterals

Transformations are when you

• turn, flip, or slide a shape on a graph

• erase a shape on a graph

Reflection means

• turn

• flip

After a transformation, the shape still has the same size, area, angles and line lengths.

• True

• False

In the image of trapezoid ABCD, the x-axis bisects the legs and the y-axis bisects the bases. What transformation(s) will map ABCD onto itself?

• A 180 degree rotation about the origin

• A reflection across the x-axis

• A reflection across the y-axis

• A reflection across a line connecting vertices A and D

• A 90 degree clockwise rotation about the origin

Quadrilaterals ABCD and A'B'C'D' are shown on the coordinate plane. Which transformation or sequence of transformations would result in ABCD being mapped on A'B'C'D'? Select all that apply.

• A 180 degree rotation about the origin

• A reflection across the x-axis followed by a reflection across the y-axis

• A reflection across the y-axis followed by a translation up four units

• A 270 degree counterclockwise rotation about the origin

Quadrilaterals ABCD and A'B'C'D' are shown on the coordinate plane. Quadrilateral ABCD will be rotated 90 degrees counterclockwise about the origin and then reflected about the x-axis to create quadrilateral EFGH. What will the x-coordinate of H be?

• 2

• -1

• -2

• 1

Rectangle WXYZ has its center at the origin. Which transformation could map WXYZ onto itself? Select all that apply.

• Reflection across the x-axis.

• 180 degree rotation.

• 90 degree counterclockwise rotation.

• Translation up two units.

• Reflection across the y-axis.

Lisa needs to transform rectangle LMNO while preserving the length of each side. Which transformation(s) could she do? Select all that apply.

• Rotate 270 degrees clockwise about the origin

• Reflect across the y-axis

• Reflect across the line y = 2x + 1

• Dilate by a scale factor of 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.

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)