IXL - Rotations: graph the image (Geometry practice)

Graph the image of

△

after a rotation

180

counterclockwise around the origin.

Coordinate plane graph with 4 quadrants, x-axis coordinates from -10 to 10, y-axis coordinates from -10 to 10. The following data are shown. Point (-5, -3). Point (-1, -3). Point (-7, 0).

ref_doc_title.

Learn with an example

question

Graph the image of rectangle

after a rotation

270

counterclockwise around the origin.

key idea

A rotation turns a figure around a fixed point.

solution

270

of a full turn. The rotation will turn the rectangle

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.

Rotate point

(

–

)

270

counterclockwise around the origin. The point will move from the negative

-axis

to the negative

-axis.

Now rotate point

(

–

)

270

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

(

)

and

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

(

)

corner fixed.

Now rotate points

(

–

)

and

(

–

)

270

counterclockwise around the origin.

The rotated points form a rectangle congruent to

Looking for more? Try these:

Lesson: Rotations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

R.10Rotations: graph the image

H.1Classify congruence transformations

Lesson: Rotations

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