Lesson Worksheet: Rotations about a Point Mathematics • 8th Grade

Start Practising

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

Q1:

Which point represents point after a rotation of ?

Q2:

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

Q3:

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

Q4:

When the green triangle is rotated about , which triangle is its new position?

Q5:

If the green triangle is rotated about point with an angle of , which triangle represents its final position?

Q6:

Where does a rotation through about send the segment ?

Q7:

What is the image of after a rotation?

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 ?

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

Q10:

Consider the octagon shape with as its center.

What is the final position of when it is rotated ?

What is the final position of when it is rotated ?

Is there a difference between the two rotations?

Download the Nagwa Practice app to access 19 additional questions for this lesson!

scan me!