Transformation Review

Which of the following are congruence transformations?

• Rotations
• Translations
• Reflections
• All Three

The rule for reflection over the y-axis is  
(x, y) --> _

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

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

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

The rule for rotation of 90 degrees clockwise is  
(x, y) --> 

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

The rule for rotation of 90 degrees counterclockwise is  
(x, y) --> _

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

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Identify the transformation.

• Reflection across y-axis
• 90 Rotation counter clockwise
• Translation 5 units left, 1 unit up.
• Translation 5 units right, 1 unit down

Is the picture being reflected in the y-axis or x-axis?

• y-axis
• x-axis

Identify the transformation.

• Reflection across y axis
• Reflection across x-axis
• 180 Rotation
• Translation 2 units down

Triangle XYZ has vertices x(2,3), Y(5,6), and Z(8,6).  What rule can be used to find the new coordinates of point X, if the triangle is translated 6 units down and 4 units to the right?

• (x,y)⊣(x-4, y+6)
• (x,y)⊣(x-6, y+4)
• (x,y)⊣(x+6, y-4)
• (x,y)⊣(x+4, y-6)