Which of the following completes the proof?
triangles abc and edc are formed from segments bd...
Mathematics, 16.07.2019 03:10 swordsman
Which of the following completes the proof?
triangles abc and edc are formed from segments bd and ac, in which point c is between points b and d and point e is between points a and c.
prove: δacb ~ δecd
reflect δecd over segment ac. this establishes that ∠acb ≅ ∠e'c'd'. then, this establishes that therefore, δacb ~ δecd by the aa similarity postulate.
translate point e' to point a; ∠e'd'c' ≅ ∠abc
translate point d' to point b; ∠e'd'c' ≅ ∠abc
translate point d' to point b; ∠d'e'c' ≅ ∠bac
translate point e' to point a; ∠d'e'c' ≅ ∠bac
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