IXL - Translations: write the rule (Geometry practice)

is a translation of

Write the translation rule.

(

)

↦

ref_doc_title.

Learn with an example

question

is a translation of

Write the translation rule.

(

)

↦

key idea

A translation shifts each point the same distance horizontally and the same distance vertically.

The image of the point

(

)

translated

units horizontally and

units vertically is

(

)

is positive the point is translated to the right and if

is negative the point is translated to the left. If

is positive the point is translated up and if

is negative the point is translated down.

Rectangle

is a translation of rectangle

by 10 units to the right and 8 units up.

This translation is described by the rule

(

)

↦

(

)

solution

Since

is a translation of

you only have to use one pair of corresponding points to solve for

and

So, look at the pair of corresponding points

and

Now, subtract the

-coordinates

(

–

)

and

(

)

to solve for

-coordinate

–

-coordinate

–

(

–

)

Similarly, subtract the

-coordinates

to solve for

-coordinate

–

-coordinate

–

(

–

)

So,

and

Therefore, translating

(

–

)

7 units to the right and 7 units up yields

(

)

Next, plug

and

into the translation formula.

(

)

↦

(

)

(

)

↦

Plug in

and

(

)

Plug in

and

So, the translation that maps

is described by the rule

(

)

↦

(

)

Looking for more? Try these:

Lesson: Translations

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H.3Translations: find the coordinates

Lesson: Translations

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