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Alexandra [31]
2 years ago
5

Prove that ΔABC and ΔEDC are similar. triangles ABC and DEC where angles A and E are right angles, AC equals 4, AB equals 3, BC

equals 5, DC equals 15, DE equals 9, and CE equals 12 15 over 4 equals 12 over 5 equals 9 over 3 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate. ∠E and ∠A are right angles; therefore, these angles are congruent since all right angles are congruent. 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity Postulate. ∠E and ∠A are right angles; therefore, these angles are congruent since all right angles are congruent. 12 over 4 equals 9 over 3 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate. ∠DCE is congruent to ∠BCA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity
Mathematics
1 answer:
nikklg [1K]2 years ago
3 0

Answer:B

Step-by-step explanation:

4E and LA are right angles; therefore, these angles are congruent since all right

angles are congruent. Is - 15 over 5 and 12 over 4shows the corresponding sides are proportional;

therefore, ABC ~ AEDC by the SSS Similarity Postulate.

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