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Similar triangles ABC and EDF with corresponding angles and side lengths.

Two similar triangles, ABC and EDF, with angles 113°, 22°, and 45°, and side lengths 9, 18, 4, and 12.

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Show Answer Key & Explanations Step-by-step solution for: Tenth grade Lesson Finding Missing Sides of Similar Triangles

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- The triangles are similar by the Angle-Angle (AA) similarity criterion.
- Corresponding angles are equal: ∠A = ∠D = 113°, ∠C = ∠E = 22°, and ∠B = ∠F = 45°.
- The ratio of corresponding sides is constant. For example, AB/DE = 9/12 = 3/4, AC/DF = ?/4, and BC/EF = 18/12 = 3/2.
- Since the side lengths do not maintain a consistent ratio across all pairs, the triangles are not similar based on side lengths alone, but they are similar by AA criterion because two angles are equal.
- Therefore, the triangles are similar by AA similarity.

Parent Tip: Review the logic above to help your child master the concept of finding missing sides of similar figures worksheet.

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