Geometry Multiple Transformations

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

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

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

Plot A(4,1) B(5,4) C(1,2). Reflect it over the x-axis, then translate it 3 units left. What are the coordinates of A'B'C'?

• A' (-1, -1) B' (-2, -4) C' (2, -2)

• A' (4, -4) B' (5, -7) C' (1, -5)

• A' (-7, 1) B' (-8, 4) C' (-4, 2)

• A' (1, -1) B' (2, -4) C' (-2, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What sequence of transformations will get you from shape 1 to shape 3 in two steps?

• Reflection, then Translation

• Translation, then Rotation

• Reflection, then Rotation

• Rotation, then Translation

Tags

CCSS.8.G.A.3

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

• a reflection followed by a rotation

• a reflection followed by a translation

• a translation followed by a rotation

• a translation followed by a reflection

Tags

CCSS.8.G.A.3

Given: A(-5,-1), L(-3, -2) and T(-3,2). First translate 6 units right and 3 units down. Then reflect the image over the y-axis. What are the coordinates for A''B''C''?

• A''(1, -4) L''(-3, -5) T''(-3, -1)

• A''(-1, -4) L''(-3, -5) T''(-3, -1)

• A''(-1, 4) L''(-3, -5) T''(-3, 1)

• A''(1, -4) L''(3, -5) T''(3, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the sequence of transformations?

• Reflect over the y then reflect over the x

• Reflect over the x then reflect over the y

• Translate 4 units then rotate 90˚

• Rotate 90˚ then reflect over the x

Tags

CCSS.8.G.A.3

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees cw around the origin

• Rotate 90 degrees cw around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees ccw about the origin.

Tags

CCSS.8.G.A.3