10-2: Similar Figures

Key Concept

A two-dimensional figure is similar to another two-dimensional figure if you can map one figure to the other by a sequence of rotations, reflections, translations, and dilations.

The symbol ∼ means “is similar to.”

Suppose you start with rectangle ABCD and translate it 6 units to the left and 1 unit up.

A graph of rectangle ABCD with vertices A(1, 3), B(1, 1), C(5, 1), and D(5, 3). After translation, vertex B moves from (1, 1) to (−5, 2).

Rotate it 90 degrees about the origin.

After rotation, vertex C moves from (−1, 2) to (−2, −1).

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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