IXL - Reflections: find the coordinates (Geometry practice)

Write the coordinates of the vertices after a reflection over the

x-axis.

ref_doc_title.

Learn with an example

question

Write the coordinates of the vertices after a reflection over the

y-axis.

key idea

A reflection flips a figure over a line to create a mirror image.

When a point is reflected over the

y-axis,

the

x-coordinate

changes sign.

solution

Reflect point

(

–

)

over the

y-axis.

Since

is 6 units to the left of the

y-axis,

is 6 units to the right of the

y-axis.

has coordinates

(

–

)

Now reflect point

(

–

)

over the

y-axis.

Since

is 3 units to the left of the

y-axis,

is 3 units to the right of the

y-axis.

has coordinates

(

–

)

Now reflect points

(

–

)

and

(

–

)

over the

y-axis.

has coordinates

(

–

)

and

has coordinates

(

–

)

The reflected points form a rectangle congruent to

Write the coordinates of the vertices using arrow notation:

(

–

)

→

(

–

)

(

–

)

→

(

–

)

(

–

)

→

(

–

)

(

–

)

→

(

–

)

Looking for more? Try these:

Lesson: Reflections

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H.5Reflections: graph the image

Lesson: Reflections

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