Question

Your task is to unscramble the defective proof. Then, in order to ensure that Dr. Madness can’t unscramble your proof, you need to rewrite the proof in either paragraph or flow chart form.

http://marion.flvs.net/webdav/educator_geometry_v14/module09/09_05b_01/index.html

I can do the flow chart, I just need some help unscrambling the proof.

Answer 1

I remember doing this... (did Geometry online with FLVS also).

Answer 2

Well, the first part of the proof is always what you were given.

Answer 3

Angles 2 and 5 are supplementary.

Answer 4

Right. So what does it mean for 2 angles to be supplementary with one another?

Answer 5

that when they are added together, their sum will be 180 degrees

Answer 6

Right. So, what's the second statement and reason for the proof?

Answer 7

<2+<5=180 degrees

Answer 8

and the reason would be definition of suplimentary angles?

Answer 9

Yes.

Answer 10

Okay :) so is the next one 3 and 5 are suplimentary?

Answer 11

Yep.

Answer 12

Okay! and it's reason is definition of suplimentary angles. So then the next one would be 3+5=180?

Answer 13

so I have
given: Angles 2 and 5 are supplementary
definition of supplimentary angles: 2+5=180
definiton of supplimentary angles: angles 3 and 5 are supplimentary
Idk the reason: 3+5=180

Answer 14

would it be angles 3 and 5 are supplimentary: converse of same side interior angles theorem
and
3+5+180: definition of supplimentary angles?

Answer 15

I'm sorry for confusing you, the 3rd definition is that angles 2 and 3 are congruent. That's because that's the only way to bring angle 3 into the proof.

Then it would be <3 and <5 are supplementary: Substitution.

And <3 + <5 = 180 would be the definition of supplementary angles.

Answer 16

The reason for angles 2 and 3 being congruent is the vertical angle theorem.

Answer 17

Oh okay! It's okay:) The last thing we have is line L is parallel to line M. would the reason for that be verticle angle theorem?

Answer 18

The reason for L being parallel to M would be the converse of the same side angle theorem (you know, the only one left...).

BUT: It still makes sense since the converse of the same side angle theorem is:
If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.

We proved that 2 lines and a transversal form the same side interior angles were supplementary.

Got it? :)

Answer 19

Yes I do! Thank you soo much! You were a huge help :)

Answer 20

Your welcome :)

Answer 21

Good luck with geometry... that was probably one of my favorite math classes :)

Answer 22

Thank you! I love it, I just have some dificulty sometimes :)