Transformations Involving Rigid Motion

Identify the correct picture which represents a 90^o clockwise rotation about the origin.

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Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

• Rotate 90 degrees clockwise 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 counterclockwise about the origin.

Determine the coordinates of X' if point X is translated 3 units to the left and 9 units down.

• (-4, 4)

• (-10, 2)

• (-4, -5)

• (-1, 5)

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

Identify the transformation from C to D.

• 90^o Clockwise Rotation

• 180^o Rotation

• 270^o Clockwise Rotation

• 360^o Rotation

What is the angle of rotational symmetry?

• 360°

• 180°

• 120°

• 90°

Identify the angles of rotation that maps the image to itself.

• multiples of 72°

• multiples of 180°

• multiples of 144°

• multiples of 45°

Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)

• (-5,-6)

• (5,-6)

• (6,5)

• (-6,5)

Write a rule for the translation.

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)

What is the angle of rotation would map the figure onto itself? (Select all that apply)

• 60 degrees

• 120 degrees

• 180 degrees

• 240 Degrees