Proving the Converse of the Parallelogram Diagonal Theorem
Given: RW WT; UWWS
Prove: RSTU is a parallelogram.
R
70
S
W
H
U
Identify the steps that complete the proof.
3
Statements
1. RW WT; UW = WS
2. ZSWR and ZUWT are
vertical angles
Reasons
1. given
2. def. of vertical angles
3.+
3. ZSWR ZUWT
4. ASWR AUWT
4.
5.
5. ZWRS
ZWSR
ZWTU,
ZWUT
6. RU || ST; UT || RS
7. RSTU is a parallelogram
6. converse of alt. interior
angles theorem
7. def. of a parallelogram
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