What is the missing reason for the 5th step in the proof below?
1. AB||CD
2.23=47
Given: AB || CD
Prove:
e: 43 = 26
6.23= 26
Statement
3.47 = 26
4.m23= m27
m27 = m26
5. m23 = m26
A
C
1
3 4
5.
5, 6
7 8
2
B
D
Reason
1. Given
2. Corresponding angles theorem
3. Vertical angles are congruent.
4. Definition of congruence
6. Definition of congruence