IXL - Reflections and rotations: write the rule (Geometry practice)

is reflected across the

-axis

to produce

Write the rule for the reflection.

(

)

↦

ref_doc_title.

Learn with an example

question

△

is rotated

270

counterclockwise about the origin to produce

△

Write the rule for the rotation.

(

)

↦

solution

Look at how the vertices of

△

are transformed by a

270

counterclockwise rotation about the origin.

(

–

)

↦

(

–

)

(

)

↦

(

–

)

(

)

↦

(

–

)

For each pair of corresponding vertices, notice that the

-coordinate

of the original vertex changes sign and then the

and

-coordinates

switch places. This is because rotating a point

(

)

270

counterclockwise about the origin produces the point

(

–

)

So, this is the rule for rotating

270

counterclockwise about the origin:

(

)

↦

(

–

)

Looking for more? Try these:

Lesson: Reflections

Lesson: Rotations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

H.6Reflections: find the coordinates

H.9Rotations: find the coordinates

Lesson: Reflections

Lesson: Rotations

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