In this worksheet, we will practice rotating points, line segments, and shapes about given points.

Q1:

Which point represents point after a rotation of ? • APoint
• BPoint
• CPoint
• DPoint
• EPoint

Q2:

If is rotated about with a angle, which line segment represents its final position? • A
• B
• C
• D

Q3:

If is rotated about with a angle, which line segment represents its final position? • A
• B
• C

Q4:

When the green triangle is rotated about , which triangle is its new position? • A
• B
• C

Q5:

If the green triangle is rotated about point with an angle of , which triangle represents its final position? • A
• B
• C
• D

Q6:

Where does a rotation through about send the segment ? • A
• B
• C
• D

Q7:

What is the image of after a rotation? • A
• B
• C
• D

Q8:

is the image of by a counterclockwise rotation of about . Find . Q9:

The following figure is of a regular polygon of 10 sides. What is the final position of when the line segment is rotated about ?

• A
• B
• C
• D
• E

What is the final position of when the line segment is rotated about ?

• A
• B
• C
• D
• E

By comparing the results of the two previous questions, are rotations with equivalent to rotations with about a given point?

• AYes
• BNo

Q10:

Consider the octagon shape with as its center. What is the final position of when it is rotated ?

• A
• B
• C
• DNone of the answers are correct.

What is the final position of when it is rotated ?

• A
• B
• C
• DNone of the answers are correct.

Is there a difference between the two rotations?

• ANo
• BYes