Rotations of Geometric Shapes

A turn is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

A transformation that “turns” a figure, which one is it?

• rotation

• translation

• reflection

• dilation

Answer explanation

When a figure is turned, this type of movement is called a rotation.

Translations, rotations, and reflections are three different types of what?

• Transformations

• Geometry

• Vectors

• Shapes

Answer explanation

They are all types of transformations because they transform a figure (position and orientation) on a coordinate plane.

Which type of rotation will not change the orientation of an object?

• 90^o rotation

• 180^o rotation

• 270^o rotation

• 360^o rotation

Answer explanation

360 degree rotation does not change the orientation because it is a full rotation and will result in the figure being back where it started.

All other rotations result in the figure changing orientation.

Triangle XYZ has vertices X(-9, 7), Y(-3, 5) and Z(-1, 12). What would be the coordinates of X' after a rotation 90 degrees clockwise?

• (7, 9)

• (-7, -9)

• (-7, 9)

• (7, -9)

• F

• G

• H

• J

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, -5)

• (-5, 3)

• (-3, 3)

If this triangle is rotated to the right 180 degrees with the rotation centered at the origin, what would be the new location of Point L?

• (-6, 2)

• (-6, -2)

• (6, -2)

• (6, 2)

Triangle XYZ has vertices X(-9, 7), Y(-3, 5) and Z(-1, 12). What would be the coordinates of Y' after a rotation 90 degrees counterclockwise?

• (5, -3)

• (-5, 3)

• (-5, -3)

• (5, 3)

Triangle XYZ has vertices X(-9, 7), Y(-3, 5) and Z(-1, 12). What would be the coordinates of X' after a rotation 180 clockwise?

• (9, -7)

• (9, 7)

• (-9, -7)

• (7, -9)