IXL | Rotations: find the coordinates

The point

(

–

)

is rotated

270

clockwise around the origin. What are the coordinates of the resulting point,

ref_doc_title.

Learn with an example

question

The point

(

–

)

is rotated

270

counterclockwise around the origin. What are the coordinates of the resulting point,

key idea

A rotation turns a figure around a fixed point.

solution

270

of a full turn. The rotation will turn the point

of a full turn in the counterclockwise direction.

270

counterclockwise is the same as

clockwise. You can think of the rotation as

of a full turn in the clockwise direction.

Start with the point

(

–

)

Rotate the point

270

counterclockwise around the origin. The point will move from Quadrant II to Quadrant I. To find the exact location, imagine

(

)

and

forming opposite corners of a box. Rotate the box, keeping the

(

)

corner fixed.

has coordinates

(

)

Looking for more? Try these:

Lesson: Rotations

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

R.10Rotations: graph the image

R.1Identify reflections, rotations, and translations

O.1Coordinate plane review

Lesson: Rotations

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!