Digits, Grade 7, Volume 1, Homework Helper

7-5: Similar Shapes

Key Concept

Similar figures, or similar shapes, have the same shape but not necessarily the same size.

Triangle ABC and triangle FGH. Triangle FGH is the same shape as triangle ABC, but larger.

Corresponding Parts Similar shapes have corresponding parts. Corresponding parts are the matching parts in two shapes.

table with 2 rows and 1 column , row1 column 1 , cap delta cap bcap c and , cap deltacap fcap gcap h , are , similar , . triangles . . , row2 column 1 , table with 4 rows and 2 columns , row1 column 1 , cap corresponding . , angles , , column 2 cap corresponding . , sides , row2 column 1 , angle eh and angle f , column 2 cap b bar , and , cap fcap g bar , row3 column 1 , angle b and angle g , column 2 cap bcap c bar , and , cap gcap h bar , row4 column 1 , angle c and angle h , column 2 cap c bar , and , cap hcap f bar , end table , end table

Naming Similar Figures In similar figures, corresponding vertices are written in the same order. The symbol ∼ means “is similar to.”

Triangle ABC and triangle FGH. Triangle FGH is the same shape as triangle ABC, but larger.

cap delta eh b c tilde cap delta f g h

Attributes of Similar Figures Corresponding angles of similar figures have the same measure.

Triangle ABC and triangle FGH. Triangle FGH is the same shape as triangle ABC, but larger.

table with 2 rows and 1 column , row1 column 1 , cap delta eh b c tilde cap delta f g h , row2 column 1 , table with 1 row and 3 columns , row1 column 1 , m angle eh equals m angle f , column 2 m angle b equals m angle g , column 3 m angle c equals m angle h , end table , end table


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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties