6.13 Multiple Transformations

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

Determine where X'' would be if you: 
 *translated X 3 units to the left and 9 units down
*reflected the new figure over the y axis.

• (-5, -4)
• (-4, 5)
• (4, -5)
• (5, 4)

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

• A reflection across the x-axis and then a reflection across the y-axis
• A translation 8 units to the left and then a reflection across the y-axis
• a 90° clockwise rotation about the origin and then a reflection across the x-axis
• A translation 8 units to the right and then a 90° clockwise rotation about the origin.

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

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

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

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.

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.