IXL - Congruence transformations: mixed review (Geometry practice)

Graph the image of square

after a rotation

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 (3, 3). Point (6, 3). Point (6, 6). Point (3, 6).

ref_doc_title.

Learn with an example

question

Graph the image of parallelogram

after a rotation

180

clockwise 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 parallelogram

of a full turn in the clockwise direction.

Rotate point

(

–

)

180

clockwise around the origin. The point will move from Quadrant IV 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

(

–

)

180

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

Now rotate points

(

–

)

and

(

–

)

180

clockwise around the origin.

The rotated points form a parallelogram congruent to

Looking for more? Try these:

Lesson: Reflections

Lesson: Rotations

Lesson: Translations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

H.3Translations: find the coordinates

H.6Reflections: find the coordinates

H.9Rotations: find the coordinates

H.12Sequences of congruence transformations: graph the image

Lesson: Reflections

Lesson: Rotations

Lesson: Translations

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