AA Similarity Theorem & Postulate | Overview & Examples - Lesson ... - Free Printable

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- The two triangles, ΔABC and ΔDEF, are similar by the Angle-Angle (AA) similarity criterion because they have two pairs of corresponding angles equal: ∠A = ∠D = 53° and ∠C = ∠F = 41°. Since the sum of angles in a triangle is 180°, the third angles (∠B and ∠E) are also equal at 86°.
- Corresponding sides are proportional. For example, AB corresponds to DE, BC to EF, and AC to DF.
- The ratio of corresponding sides can be calculated: AB/DE = 8/12 = 2/3, BC/EF = 10/15 = 2/3, AC/DF = 14/21 = 2/3. All ratios are equal, confirming similarity with a scale factor of 2/3 from ΔABC to ΔDEF.
- Therefore, ΔABC ~ ΔDEF with a similarity ratio of 2:3.

Parent Tip: Review the logic above to help your child master the concept of angle angle similarity worksheet.

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