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 2 years ago
A student made the table below to show the steps to prove that DC is equal to EC.
Statements Justifications
AC = BC
Given
m∡EAC = m∡DBC
Given
m∡ACD = m∡BCE
Given
m∡ACE = m∡ACD + m∡DCE
Angle Addition Postulate
m∡BCD = m∡BCE + m∡DCE
Angle Addition Postulate
m∡BCD = m∡ACD + m∡DCE
Substitution
triangleDBC≅ triangleEAC
ASA postulate
DC = EC
CPCTC
A. Provide the missing statement and justification in the proof.
B. Using complete sentences, explain why the proof would not work without the missing step
 2 years ago
A student made the table below to show the steps to prove that DC is equal to EC. Statements Justifications AC = BC Given m∡EAC = m∡DBC Given m∡ACD = m∡BCE Given m∡ACE = m∡ACD + m∡DCE Angle Addition Postulate m∡BCD = m∡BCE + m∡DCE Angle Addition Postulate m∡BCD = m∡ACD + m∡DCE Substitution triangleDBC≅ triangleEAC ASA postulate DC = EC CPCTC A. Provide the missing statement and justification in the proof. B. Using complete sentences, explain why the proof would not work without the missing step

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