IXL - Rotations: find the coordinates (Geometry practice)

Write the coordinates of the vertices after a rotation

270

counterclockwise around the origin.

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Learn with an example

question

Write the coordinates of the vertices after a rotation

180

counterclockwise around the origin.

key idea

A rotation turns a figure around a fixed point.

solution

180

of a full turn. The rotation will turn the triangle

of a full turn in the counterclockwise direction.

Rotate point

(

–

)

180

counterclockwise around the origin. The point will move from Quadrant III 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

(

)

Now rotate point

(

–

)

180

counterclockwise around the origin. The point will move from Quadrant III to Quadrant I. Again, imagine a box to find the exact location.

has coordinates

(

)

Now rotate point

(

–

)

180

counterclockwise around the origin.

has coordinates

(

)

The rotated points form a triangle congruent to

Write the coordinates of the vertices using arrow notation:

(

–

)

→

(

)

(

–

)

→

(

)

(

–

)

→

(

)

Looking for more? Try these:

Lesson: Rotations

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H.8Rotations: graph the image

Lesson: Rotations

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