Transformations

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 around the origin
• Rotate -90 degrees 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 about the origin.

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

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

• Translate Trapezoid 1 to the right 6 units, then translate the resulting down 2 units.

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

• Translate Trapezoid 1 to the right 6 units, then reflect the resulting figure across the x-axis.

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

Which sequence of transformations will result from shape F to its image shape F''?

• Reflection over both axes

• Reflection, then rotation

• Translation, then reflection

• Rotation, then translation

When you translate, (x-4,y) will move _____.

• 4 units right
• 4 units left
• 4 units up
• 4 units down

The rule for rotation of 180 degrees is  
(x, y) --> _

• (-y, x)
• (-x, -y)
• (y, -x)
• (-y, -x)

• Translate right 6 & up 4

• Translate left 6 & up 4

• Translate right 6 & down 4

• Translate left 6 & down 4

Which 3 transformations preserve congruency between the preimage and the image?

• Translation

• Rotation

• Reflection

• Dilation

Which rule represents rotating a figure 90 degrees counterclockwise and then moving it left 3?

• (-y-3, x)

• (-y + 3, x)

• (x + 3, y)

• (y, y)