O Given ABCD is a parallelogram. Prove triangle DAB is congruent to triangle DCB.
Statements
Reasons
1. ABCD is a parallelogram
1. Given
2. AD is congruent to BC
2.
3. Angle ADB is congruent to Angle CBD
3.
4. DB is congruent to DB
4.
5. Triangle DAB is congruent to Triangle DCB
5.
a
2) Def. of polygon 3) angle bisector theorem 4) symmetrical property 5) SAS
Ob
2) Def. of parallelogram 3) Angle bisector theorem 4) symmetrical property 5) SAS
2) Def. of polygon 3) alternate interior angles 4) Reflexive property 5) SAS
О с
d
2) Def. of polygon 3) angle bisector theorem 4) symmetrical property 5) ASA
Оe
2) Def. of parallelogram 3) alternate interior angles 4) Reflexive property 5) SAS
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