IXL - Congruence transformations: mixed review (Geometry practice)

Write the coordinates of the vertices after a rotation

270

clockwise around the origin.

ref_doc_title.

Learn with an example

question

Write the coordinates of the vertices 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 triangle

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 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

(

)

Now rotate point

(

–

)

270

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

has coordinates

(

)

Now rotate point

(

)

270

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: Translations

Lesson: Reflections

Lesson: Rotations

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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: Translations

Lesson: Reflections

Lesson: Rotations

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