Transcript Statement Reason

A
B
C
AC = BD
Prove:
AB = CD
D
Statement
AC = BD
Given:
Reason
given
A
B
C
Given:
AC = BD
Prove:
AB = CD
D
Statement
AC = BD
AC = AB + BC
Reason
given
segment addition postulate
A
B
C
Given:
AC = BD
Prove:
AB = CD
D
Statement
AC = BD
AC = AB + BC
BD = BC + CD
Reason
given
segment addition postulate
segment addition postulate
A
B
C
Given:
AC = BD
Prove:
AB = CD
D
Statement
Reason
AC = BD
given
AC = AB + BC
BD = BC + CD
AB + BC = BC + CD
segment addition postulate
segment addition postulate
substitution
A
B
C
Statement
Given:
AC = BD
Prove:
AB = CD
D
Reason
AC = BD
given
AC = AB + BC
segment addition postulate
BD = BC + CD
segment addition postulate
AB + BC = BC + CD
substitution
AB = CD
subtraction property
A
B
C
AC = BD
AB = 6
Prove:
CD = 6
D
Statement
AC = BD
AB = 6
Given:
Reason
given
given
A
B
C
Given:
AC = BD
AB = 6
Prove:
CD = 6
D
Statement
AC = BD
AB = 6
AC = AB + BC
Reason
given
given
segment addition postulate
A
B
C
Given:
AC = BD
AB = 6
Prove:
CD = 6
D
Statement
AC = BD
AB = 6
AC = AB + BC
BD = BC + CD
Reason
given
given
segment addition postulate
segment addition postulate
A
B
C
Given:
AC = BD
AB = 6
Prove:
CD = 6
D
Statement
Reason
AC = BD
given
AB = 6
AC = AB + BC
BD = BC + CD
AB + BC = BC + CD
given
segment addition postulate
segment addition postulate
substitution
A
B
C
Statement
Given:
AC = BD
AB = 6
Prove:
CD = 6
D
Reason
AC = BD
given
AB = 6
given
AC = AB + BC
segment addition postulate
BD = BC + CD
segment addition postulate
AB + BC = BC + CD
substitution
AB = CD
subtraction property
A
B
C
Statement
Given:
AC = BD
AB = 6
Prove:
CD = 6
D
Reason
AC = BD
given
AB = 6
given
AC = AB + BC
segment addition postulate
BD = BC + CD
segment addition postulate
AB + BC = BC + CD
substitution
AB = CD
subtraction property
6 = CD
substitution
A
B
C
Statement
Given:
AC = BD
AB = 6
Prove:
CD = 6
D
Reason
AC = BD
given
AB = 6
given
AC = AB + BC
segment addition postulate
BD = BC + CD
segment addition postulate
AB + BC = BC + CD
substitution
AB = CD
subtraction property
6 = CD
substitution
CD = 6
symmetric property