Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the relationships, pupils find missing measures.

Concepts

congruent figures, similar figures, ratios, proportions, congruent angles, constant of proportionality

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Additional Tags

math

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Instructional Ideas

• Have your classes practice congruence, similarity, and proportionality statements before finding missing sides or angles

Classroom Considerations

• Expects an understanding of solving proportions
• Does not include examples for practice problems #15-16; supplement if appropriate for your classes

Pros

• Teaching congruence and similarity together highlights the similar notation
• Emphasizes vocabulary with definitions and examples

Cons

• None

Common Core

HSG-CO.B.7 HSG-SRT.A.2