Multiple Rotation Around Origin

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?

• Q' (-2, -3) R'(-4, 0)

• Q' (-1, -4) R'(-3, -1)

• Q' (1, 1) R'(-2, 1)

• Q' (1, -1) R'(-1, 2)

Tags

CCSS.8.G.A.3

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)

Tags

CCSS.8.G.A.3

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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 )

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What would be the coordinates for C'' if C(-1, -4) was rotated 180° to create C', then C' was reflected over the line y=-x?

• (1, 4)

• (4, 1)

• (-4, -1)

• (-1, -4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Quadrilateral QRST is rotated 180° about the origin, resulting in quadrilateral Q'R'S'T' as seen in the figure.
Which series of transformations would have the same result as the above transformation

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

• translation 8 units to the left and then a reflection across the y-axis

• 90° clockwise rotation about the origin and then a reflection across the x-axis

• translation 8 units to the right and then a 90° clockwise rotation about the origin.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3