[tex] \huge \rm{Answer:}[/tex]
#1.
BD = CE (given)
∠BDC = ∠ CEB (each 90° as BD and CE are altitudes)
BC = BC (common)
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#2.
Yes, ∆CBD ≅ ∆BCE
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#3.
Yes, ∠DCB = ∠EBC by [C.P.C.T.]
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[tex]{ \boxed{\underline{ \tt{March \: 15, 2022 \: || \: 2:51 \: PM}}}}[/tex]
