Rotating One Point Transformations

A turn is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

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.

A rotation is a ____________________________?

• Change in position by reflecting it over the x axis

• Change in position by rotating it around

• Change in position by rotating it around the origin

• Change in position by rotating it around a particular point

Trapezoid PQRS is rotated 180° about the origin to form trapezoid P'Q'R'S'. Which statement is true?

• The sum of the angle measures of trapezoid PQRS is 180° less than the sum of the angle measures of trapezoid P'Q'R'S'.

• Trapezoid PQRS is not congruent to trapezoid P'Q'R'S'.

• The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S'.

• The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.

How many degrees was the figure rotated? (Select ALL correct answers.)

• 90 degrees counterclockwise

• 180 degrees

• 90 degrees clockwise

• 270 degrees counterclockwise

What Transformation is visible?

• Translation

• Rotation

• Dilation

• Reflection

What is this picture an example of?

• Reflection

• Translation

• Rotation

• Dilation

This is a rotation of ____.

• 90 degrees counter-clockwise

• 180 degrees

• 90 degrees clockwise

What will be the new position of the given point after rotating 90^o counterclockwise or 270^o clockwise?

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Answer explanation

Counterclockwise follows the numbering scheme of the quadrants. If the preimage is in the bottom left quadrant (QIII), then the new image after a 90 degree counterclockwise rotation will be in the next quadrant (QIV) in the bottom right.

Which of the following images shows a rotation of 180^o?

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Answer explanation

A 180 degree rotation is half of a full rotation, so it will result in a figure being rotated upside down and in the opposite quadrant of the graph.