Identify the correct explanation for why △ABC and △DEC are similar, and find EC.
options:
A....
Mathematics, 22.02.2021 23:10, quarrella
Identify the correct explanation for why △ABC and △DEC are similar, and find EC.
options:
A. As shown, AB∥ED. ∠B≅∠E by the Alt. Int. ∠s Thm., and similarly, ∠A≅∠D. By the Vert. ∠s Thm., ∠ACB≅∠DCE. Therefore, △ABC∼△DEC by AA∼. The measure of EC is 32.
B. As shown, AB∥ED. ∠B≅∠E by the Alt. Int. ∠s Thm., and similarly, ∠A≅∠D. By the Corr. ∠s Post., ∠ACB≅∠DCE. Therefore, △ABC∼△DEC by SAS∼. The measure of EC is 36.
C. As shown, AB∥ED. ∠B≅∠E by the Corr. ∠s Post., and similarly, ∠A≅∠D. By the Vert. ∠s Thm., ∠ACB≅∠DCE. Therefore, △ABC∼△DEC by SAS∼. The measure of EC is 32.
D. As shown, AB∥ED. ∠B≅∠E by the Alt. Int. ∠s Thm., and similarly, ∠A≅∠D. By the Vert. ∠s Thm., ∠ACB≅∠DCE. Therefore, △ABC∼△DEC by AA∼. The measure of EC is 36.
Answers: 2
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