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Mathematics, 04.12.2019 22:31 china2221
We are given ab ∥ de. because the lines are parallel and segment cb crosses both lines, we can consider segment cb a transversal of the parallel lines. angles ced and cba are corresponding angles of transversal cb and are therefore congruent, so ∠ced ≅ ∠cba. we can state ∠c ≅ ∠c using the reflexive property. therefore, △acb ~ △dce by the aa similarity theorem. sss similarity theorem. aas similarity theorem. asa similarity theorem.
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