Complete the partial proof below for the accompanying diagram by providing reasons for
steps 3, 6, 8, and 9.
В
С
D
Given: AFCD, ABLBC, DELEF, BC || FE,
AB = DE
Prove: AC = FD
Statements
1 AFCD
Reasons
1 Given
2 Given
2 AB. LBC,
DE LEF
3 ZB and ZE are
right angles.
3
4 ZB ZE
4 All right angles
are congruent.
5 Given
5 BC || FE
6 ZBCA ZEFD
6
7 Given
7 AB = DE
8 AABC = ADEF
8
9ACE FD
9