Question

Given: Angles 2 and 5 are supplementary.
Prove: lines l and m are parallel.

Statements
• line l || line m
• <2 <3
• <3 + <5 =180°
• <2 + <5 =180°
• <3 and <5 are supplementary
• <2 and <5 are supplementary
Reasons
• Substitution
• Vertical Angle Theorem
• Given
• Definition of Supplementary Angles
• Definition of Supplementary Angles
• Converse of Same-Side Interior Angles Theorem

Please unscramble this, and write a proof in either a flow chart, or paragraph form.

Answer 1

http://learn.flvs.net/webdav/educator_geometry_v14/module09/img/09_05b_01.gif

Answer 2

Someone please help!

Answer 3

first row is always Given

Answer 4

last row is what you need to Prove

Answer 5

Ok. That helps.

Answer 6

for second row. think what the Given statement says.
2 and 5 are supplementary means what ?

2 + 5 = 180 (Definition of supplementary angles)

right ?

Answer 7

Yes, that's correct.

Answer 8

third row must follow second.
have a look at pix

2 and 3 are vertically opposite angles notice that ?

Answer 9

Now I do.....

Answer 10

great ! so they are congruent according to Vertical Angles theorem

Answer 11

we are dont with unscrambling first 3 rows

Answer 12

*done

Answer 13

already? wow, that was quick.... and I didn't know it could be so simple

Answer 14

can u type them down here. or write them in a piece of paper.. so that u see what statements we unscrambles and whats left...

Answer 15

Oh. Ok. That should be simple. Thank you so so much!