# Can you please complete this proof for me. I want to check my answers. Thank you :)

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• Aug 9th 2012, 06:39 PM
yazzysyed
Can you please complete this proof for me. I want to check my answers. Thank you :)
• Aug 9th 2012, 07:06 PM
GJA
Re: Can you please complete this proof for me. I want to check my answers. Thank you
Hi, yazzysyed.

As the picture is drawn, we don't have that angles A and C are congruent. In the posted diagram of the assumed parallelogram the statement should be that angles A and C are supplementary (meaning their sum is 180 degrees).
• Aug 9th 2012, 07:16 PM
Prove It
Re: Can you please complete this proof for me. I want to check my answers. Thank you
The easiest way is to put the parallelogram inside two sets of parallel lines,

http://i22.photobucket.com/albums/b3...allelogram.png

then use "angle in parallel lines" facts (alternate, corresponding and vertically opposite angles are equal, angles in a straight line and cointerior angles add to 180 degrees).
• Aug 10th 2012, 05:26 AM
rcs
Re: Can you please complete this proof for me. I want to check my answers. Thank you
Attachment 24484

hope this is not too late...

for number 3 reason: "Given two lines cut by a transversal. If a pair of interior angles on same side of the transversal are supplementary, the lines are parallel. Source: Geometry Theorems 9.1-25 flashcards | Quizlet

for number 5 reason: the same in number 3.

for number 6 statement: angle A is congruent to angle D .

for number 7 reason: same in number 3 reason.

for number 8 statement: angle A is congruent to angle C