Digits, Grade 8, Volume 2, Homework Helper

10-4: Additional Problem Solving

Part 1

Example Finding Missing Vertices After Dilations

Given ΔABC ∼ ΔDEF, use one rigid motion followed by a dilation with center (0, 0) to find possible coordinates for point D.

A graph of triangle ABC and partial triangle DEF.

Solution

Method 1 After translation, triangle ABC now has vertices A´(1, 1), B´(1, −1), and C´(4, −1).

The dilation maps vertex A′ to possible coordinates for point D.

eh prime open 1 comma 1 close rightwards arrow open 1 middle dot 2 comma 1 middle dot 2 close equals open 2 comma 2 close

Possible coordinates for point D are (2, 2).


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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