Multiple Step Transformations

• 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

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 x-axis, producing an image triangle. Which additional transformation will map the image triangle back onto the original triangle?

• Reflection across the line y = -x

• Reflection across the line y = x

• Rotation 270° counterclockwise around the origin

• Rotation 90° counterclockwise around the origin

Plot A(1,1) B(3,1) C(2,4). Rotate it 90° clockwise, then reflect it over the y-axis. What are the new coordinates of A'B'C'?

• A' (-1, -1) B' (-1, -3) C' (-4, -2)

• A' (-1, 1) B' (-1, 3) C' (-4, 2)

• A' (1, -1) B' (1, -3) C' (4, -2)

• A' (-1, -1) B' (-3, -1) C' (-2, -4 )

Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent?

• Translate Trapezoid 1 down 2 units, then reflect the resulting figure across the y-axis.

• Translate Trapezoid 1 to the right 2 units, then translate the resulting down 2 units.

• Translate Trapezoid 1 to the right 2 units, then reflect the resulting figure across the x-axis.

• Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.

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

• A reflection about the x-axis

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

• A reflection about the x-axis and then a translation to the right

• A reflection across the y-axis and then a reflection across the x-axis

Henry starts with the two parallel line segments shown. She correctly reflects the segments across the x-axis and then translates them following the rule (x,y) --> (x-2,y+5). Which statements about the reflection and translation of the line segments are true? Select all that apply

• The final image will result in parallel segments slanted in the opposite direction and the same distance apart as the preimage segments.

• The coordinates of point C’ in the final image are (1,4).

• When reflected over the x-axis, the coordinates of point A become (2,–4).

• The final image will result in perpendicular segments that intersect at point (0,1).

• The final image will result in parallel segments slanted in the same direction and closer together than the preimage segments.

Which transformations could be used to transform from the original image to the final image?

• Translate 7 units up.

• Translate 8 units right.

• Rotate 90 counterclockwise around the origin

• Rotate 180 around the origin.

• Translate 5 units down.

Ronnie performed a series of rigid transformations on Figure 1. The result of the transformations is Figure 2 as shown on the coordinate grid. What is the sequence of transformations that Ronnie followed so that Figure 1 lies exactly on top of Figure 2?

• a reflection across the x-axis and then a translation of 6 units to the right and 3 units up.

• a 90 counterclockwise rotation about the origin and then a translation of 5 units left and 3 units down

• a reflection across the y-axis and then a translation of 5 units to the left and 5 units down

• a 270 counter-clockwise rotation about the origin and then a reflection across the x-axis