Transformations in Geometry

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.

The translation that moves a figure down 4, to the right 2 is

• (x,y) -->  (x + 4, y - 2)
• (x,y) -->  (x - 4, y + 2)
• (x,y) -->  (x - 2, y + 4)
• (x,y) -->  (x + 2, y - 4)

Which of the following demonstrates a translation of 1 vertically and -2 horizontally?

• A
• C
• B
• D

Rotate the figure 180 degrees about the origin.

• A
• C
• B
• D

• A
• D
• B
• C

Which of the following can be reflected across the y-axis and then translated back onto itself?

• A
• C
• B
• D

Which of the following demonstrates a translation?

• A
• C
• B
• D

Identify the transformation from ABC to A'B'C'.

• (x,y) -->  (x+8, y+4)
• (x,y) -->  (x-8, y-4)
• (x,y) -->  (x+4, y+8)
• (x,y) -->  (x-4, y-8)

What transformation was used to go from Stage 1 to Stage 2?

• Translation
• Reflection
• Rotation
• None

Identify the transformation from ABCD to A'B'C'D'.

• 90^o rotation
• Translation
• Reflection across the x-axis
• Reflection across the y-axis