IXL | Rotations: graph the image

Graph the image of rectangle

after a rotation

270

clockwise 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 (1, 2). Point (10, 2). Point (10, 8). Point (1, 8).

ref_doc_title.

Learn with an example

question

Graph the image of square

after a rotation

counterclockwise around the origin.

key idea

A rotation turns a figure around a fixed point.

solution

of a full turn. The rotation will turn the square

of a full turn in the counterclockwise direction.

Rotate point

(

)

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

(

)

and

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

(

)

corner fixed.

Now rotate point

(

)

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

Now rotate points

(

)

and

(

)

counterclockwise around the origin.

The rotated points form a square congruent to

Looking for more? Try these:

Lesson: Rotations

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R.3Graph points on a coordinate plane

Lesson: Rotations

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