Digits, Grade 8, Volume 2, Homework Helper

Part 3


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 ABCD′.

A graph of ABCD and A´B´C´D´.


The horizontal change from A(3, 4) to A´(−2, 3) is 5 units left, so x → x − 5. The vertical change from A to A´ is 1 unit down, so y → y − 1.

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


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

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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Table of Contents

Digits, Grade 8, Volume 2, Homework Helper Unit D: Two-Dimensional Shapes Unit E: Measurement and Data Unit F: Personal Financial Literacy Unit G: Step-Up Lessons English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties