Lesson on Rotations in the Coordinate Plane

Transformations Reflections and Rotations

by Katerina Evangelinos

Reflection: When a figure is flipped around a specific line to create a mirror image

Line of Reflection: A line a figure is flipped across to create a mirror image

Rotation: When a figure is turned either around a specific point or more commonly the origin on the coordinate plane

Multiple Choice

A turn is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

Multiple Choice

A flip is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

Multiple Choice

True or False : When you transform a figure with a rotation or a reflection or a translation, it is congruent to the original figure.

• True

• False

Multiple Choice

Name the transformation.

• Translation (slide)

• Reflection (flip)

• Rotation (turn)

• It didn't transform

Multiple Choice

Name the transformation.

• Reflection (flip)

• Translation (slide)

• Rotation (turn)

• It didn't transform

Multiple Choice

Name the transformation.

• Translation (slide)

• Rotation (turn)

• Reflection (flip)

• It didn't transform

Multiple Choice

Name the transformation.

• Reflection (flip)

• Rotation (turn)

• Translation (slide)

• It didn't transform

Multiple Choice

If I rotate a trapezoid 90⁰ clockwise, and its in quadrant III (3), which quadrant would it move to?

• Quadrant 1 (I)

• Quadrant 2 (II)

• Quadrant 3 (III)

• Quadrant 4 (IV)

Multiple Choice

Identify the transformation from A to D.

• 90^o Clockwise Rotation

• 180^o Rotation

• 270^o Clockwise Rotation

• 360^o Rotation

Multiple Choice

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

• S'(3, 7)

• S'(-3, 7)

• S'(-3, -7)

• S'(3, 7)

Multiple Choice

What are the coordinates of A', the image of A(-3,4), after a rotation of 180º about the origin?

• (4, -3)

• (-4, -3)

• (3, 4)

• (3, -4)

Multiple Choice

If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point...

• (2, 5)

• (2, -5)

• (-2, 5)

• (-5, -2)

Multiple Choice

The preimage above is rotated 90^o counterclockwise. How do the side lengths in the preimage compare to the side lengths in the image?

• Some of the side lengths increase in measure and other side lengths decrease in measure.

• The measures of the side lengths double.

• The measures of the side lengths decrease by one third.

• The measures of the side lengths are the same.

Multiple Choice

If (3,2)→(-3,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

• 90

• 180

• 270

• 360

Multiple Choice

If (4,-2) → (-2, -4) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

• 90

• 180

• 270

• 360

Multiple Choice

Reflect the point (2, -4) over the y-axis. What are the new coordinates of that point after the reflection?

• (-4, 2)

• (-2, 4)

• (-2, -4)

• (2, 4)

Multiple Choice

Reflections over the x-axis change the ____-__________. 

• y-coordinate

• x-coordinate

• y-axis

• x-axis 

Multiple Choice

Reflecting over the y-axis changes the ____-_____________. 

• x-axis

• x-coordinate

• y-coordinate

• none of the above

Multiple Choice

Reflect the point (2, -4) over the y-axis.

• (-4, 2)

• (-2, 4)

• (-2, -4)

• (2, 4)

Multiple Choice

If (4,-2) → (4,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

• 90

• 180

• 270

• 360

Multiple Choice

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Multiple Choice

Which quadrant contains the point named by (2, 5)?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Choice

Reflect over x-axis. Which point would be at (3, -6)

• A

• B

• C

• H