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 s

Question

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 s

anonymous · Answer

@pfenn1

pfenn1 · Answer

It has been too many years since I have done proofs.  I'm not sure I can help you with this.