Prove that ∆ABC and ΔEDC are similar. 15/4 = 12/5 = 9/3 shows the corresponding sides are proportional; therefore, △ ABCsim △ EDC by the SAS Similarity Postulate. ∠DCE is cangruent to angle BCA by the Vertical Angles Theorem and 15/5 = 12/4 shows the corresponding sides are proportional; therefore, △ ABC- △ EDC by the SAS Similarity Postulate. ∠E and angle A are right angles; therefore, these angles are congruent since all right angles are congruent. 12/4 = 9/3 shows the corresponding sides are proportional; therefore, ΔABC - ∆EDC by the SSS Similarity Postuiate. ∠DCE is congruent to angle CBA by the Vertical Angles Theorem and 15/5 = 12/4 shows the corresponding sides are proportional; therefore, ∆ABC - ∆EDC by the SSS Similarity Postulate. ation
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