Given: AB || DC and m2 =m24 Prove: AD || BC
А.
B
1
2.
2
4.
3
D
с
Statements
1. AB | DC
2. m 22=m24
3. 21 and 24 are supplements
4. ?
5. mZ1 + Z2 = 180°
6. 21 and 22 are supplements
7. AD BC
Reasons
1. given
2. given
3. same side interior angles thm
def. of supplementary angles
5. substitution
def. of supplementary angles
7. converse same side interior angles thm