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Grade 9 · Geometry

Scale Diagrams and Similar Figures

Similar figures have the same shape but different sizes — all corresponding angles are equal and all corresponding sides are proportional. Shadow problems, map scales, and architectural drawings all rely on this relationship. Students use proportions to find unknown lengths, building proportional reasoning skills that connect back to earlier ratio work and forward to trigonometry.

LESSON VIDEO
Lesson video
A short walkthrough to play in class or assign for flipped/at-home viewing.
WHAT STUDENTS WILL LEARN
Identify similar polygons and state their properties
Calculate missing side lengths in similar figures using proportions
Draw and interpret scale diagrams
Apply similarity to real-world problems: maps, shadows, photography