Final Exam Review 2023

Which of the following has the correct transformation listed as well as the correct rule for the transformation:

• Translation

  (x, y)-->(x, -y)

• Dilation

  (x, y)-->(2x, 2y)

• Reflection over x-Axis

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

• 180° Rotation

  (x, y)-->(-x, y)

Which of the following does NOT preserve congruence?

• Dilations

• Translations

• Reflections

• Rotations

Match the following transformations:

90° Clockwise rotation

• (x, y)-->(x, -y)

• (x, y)-->(y, -x)

• (x, y)-->(y, x)

• (x, y)-->(-x, y)

Match the following transformations:

Reflection over y-axis

• (x, y)-->(-x, y)

• (x, y)-->(-x, -y)

• (x, y)-->(-y, x)

• (x, y)-->(y, -x)

Match the following transformations:

180° rotation

• (x, y)-->(y, x)

• (x, y)-->(-y, -x)

• (x, y)-->(x, y)

• (x, y)-->(-x, -y)

Match the following transformations:

90° Counter-Clockwise rotation

• (x, y)-->(x, -y)

• (x, y)-->(-x, y)

• (x, y)-->(-y, x)

• (x, y)-->(-y, -x)

Match the following transformations:

Reflection over x-axis

• (x, y)-->(-x, -y)

• (x, y)-->(x, -y)

• (x, y)-->(-y, x)

• (x, y)-->(y, -x)

Match the following TRANSLATION...

(Left 1, Up 6)

• (x, y)-->(x+1, y+6)

• (x, y)-->(x-1, y+6)

• (x, y)-->(x-3, y-1)

• (x, y)-->(x+1, y-6)

A reflection over the y-axis causes the ____ to stay the same and the ____ to switch.

The algebraic representation is __________.

• x-value

  y-value

  (x, y)-->(-y, x)

• y-value

  x-value

  (x, y)-->(-x, y)

• x-value

  y-value

  (x, y)-->(-x, y)

• y-value

  x-value

  (x, y)-->(x, -y)

A reflection over the x-axis causes the ____ to stay the same and the ____to switch.

The algebraic representation is __________.

• x-value

  y-value

  (x, y)-->(-x, y)

• y-value

  x-value

  (x, y)-->(-x, y)

• x-value

  y-value

  (x, y)-->(x, -y)

• y-value

  x-value

  (x, y)-->(-x, -y)