2) Luanne correctly used the figure below to prove that the opposite sides
of a parallelogram are congruent.
'S
R
Given: QRST is a parrallelogram.
Prove: QR = ST and QT = SR
Statements
Reasons
1. QRST is a parallelogram.
1. Given
2. QRII ST and QTII SR
3.
4. RT RT
5. ATQR = ARST
*
5 points
2. Definition of a parallelogram
3. Alternate interior angles formed by
parallel lines and a transversal are
congruent.
4. Reflexive Property
5. ASA
6. QR = ST and QT = SR
6. CPCTC
Which two sets of angles should be listed in Step 3?
A. ZQTR=/STR and ZQRT SRT
B. ZTQR ZRST and ZQTR= ZSRT
C.
ZQRTZSTR and ZQTR ZSRT

Q&A Education