Congruent Figures and Sequences of Transformations

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 for the image given? 

• Reflect over the x-axis, translate (x+8,y)
• Reflect over the x-axis then translate (x+6, y)
• Reflect over the y-axis then (x+1, y+1)
• Translate down 4 (y-4) and to the right 5 (x+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

Will the following transformations result in a congruent or similar figure?
1. Reflection over the line x = -3
2. Rotation of 180 degrees, center at (4, 5)

• Congruent
• Similar

Will the following transformations result in a congruent or similar figure?
1. Rotation 90 degrees, clockwise, center at point C
2. Dilation with scale factor of 1/2, center at (-1, -2)

• Congruent
• Similar

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 sequence of transformations will get you from shape ABC to shape A'B'C' in two steps?

• Reflection, then Translation
• Rotation, then Dilation
• Reflection, then Rotation
• Dilation, then Reflection

What sequence of transformations will get you from shape BCD to shape B"C"D" in two steps?

• Rotation, then Rotation
• Rotation, then Dilation
• Reflection, then Rotation
• Translation, then Reflection

What sequence of transformations will get you from shape A to shape A' in two steps?

• Rotation, then Dilation
• Rotation, then Translation
• Reflection, then Dilation
• Translation, then Reflection

What sequence of transformations will get you from shape 1 to shape 2 to shape 3 in three steps?

• Rotation, then Dilation, then Reflection
• Translation, then Reflection, then Rotation
• Reflection, then
  Dilation, then Rotation
• Dilation, then Translation, then Reflection