Part 3

Intro

You can also use arrow notation to write a general rule that describes a translation. For example, (x, y)→(x+4, y−2) shows the ordered pair (x, y) and describes a translation 4 units right and 2 units down.

Example Writing Translation Rules Using Arrow Notation

ABCD is a parallelogram. Use arrow notation to write a rule that describes the translation of ABCD to A′B′C′D′.

Solution

The rule for the translation is (x, y)→(x−5, y−1).

Check

Apply the rule to another vertex, for example point B.

( x , y ) → ( x − 5 , y − 1 ) B ( 2 , 1 ) → B ′ ( 2 − 5 ,   1 − 1 ) = B ′ ( 3 , 0 ) ✓ table with 2 rows and 1 column , row1 column 1 , open x comma y close rightwards arrow open x minus 5 comma y minus 1 close , row2 column 1 , b open 2 comma 1 close rightwards arrow b prime open 2 minus 5 comma 1 minus 1 close equals b prime open 3 comma 0 close check mark , end table

The answer checks.

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