IXL | Reflections and rotations: write the rule

Quadrilateral

is rotated

270

counterclockwise about the origin to produce quadrilateral

Write the rule for the rotation.

(

)

↦

ref_doc_title.

Learn with an example

question

is reflected across the

-axis

to produce

Write the rule for the reflection.

(

)

↦

solution

Look at how the endpoints of

are transformed by a reflection across the

-axis.

(

–

)

↦

(

–

)

(

–

)

↦

(

–

)

For each pair of corresponding endpoints, notice that the

-coordinate

of the original endpoint changes sign. This is because reflecting a point

(

)

across the

-axis

produces the point

(

–

)

So, this is the rule for reflecting across the

-axis:

(

)

↦

(

–

)

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:

R.9Reflections: find the coordinates

R.11Rotations: find the coordinates

Lesson: Reflections

Lesson: Rotations

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