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Lesson: Rotations

Learn how to identify rotations in this lesson. Discover how to ratate a shape through 90, 180 and 270 degrees about the origin and investigate what happens to the coordinates following one of these rotations.

Worksheet: Rotations 1 • 5 Questions

Q1:

What is the name of the transformation that turns an object about a given center point?

Ahorizontal stretching
Bdilation
Crotation
Dreflection
Etranslation

Q2:

Rotate the given triangle about the origin clockwise. Which of the following sets of coordinates will be the vertices of the image?

A, and
B, and
C, and
D, and
E, and

Q3:

First, translate the given triangle two right and two down, and then rotate this image about the origin. Which of the following sets of coordinates will be the vertices of the image?

A, and
B, and
C, and
D, and
E, and

Q4:

In the given figure, triangle has been transformed to triangle . Which of the following sequences of transformation could have been used?

Aa reflection in the -axis followed by a translation four right and two up
Ba rotation about the point followed by a translation three right
Ca rotation about the point followed by a translation three right
Da reflection in the -axis followed by a translation four right and four up
Ea rotation about the point followed by a translation three right

Q5:

A triangle has its vertices at the points (2, 1), (3, 2) and (2, 4). The triangle is rotated counterclockwise about the origin. At which of the following coordinates will the image have its vertices?

A, and
B, and
C, and
D, and
E, and

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Worksheet: Rotations 2 • 25 Questions