Which of the following completes the proof?
triangles abc and edc are formed from segme...
Mathematics, 01.11.2019 22:31 jahi1201
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.
given: segment ac is perpendicular to segment bd
prove: δacb ~ δecd
reflect δecd over segment ac. this establishes that then, this establishes that ∠e'd'c' ≅ ∠abc. therefore, δacb ~ δecd by the aa similarity postulate.
∠abc ≅ ∠e'd'c'; translate point e' to point a
∠acb ≅ ∠e'c'd'; translate point e' to point b
∠acb ≅ ∠e'c'd'; translate point d' to point b
∠abc ≅ ∠e'd'c'; translate point d' to point a
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