Help!
Given:
Line AB is perpendicular to Line FC
Line DE is perpendicular to Line FC
Line AB is congruent to line DE
Angle DEF is congruent to Angle BAC

Question

Help!
Given: 
Line AB is perpendicular to Line FC
Line DE is perpendicular to Line FC
Line AB is congruent to line DE
Angle DEF is congruent to Angle BAC

anonymous · Answer

attachment

anonymous · Answer

uhh, I can't open this type of file :/ maybe a link?

anonymous · Answer

It gives a two-column proof then asks Which figure correctly displays this proof?

anonymous · Answer

I can post the figures

anonymous · Answer

or you can draw it XD.

anonymous · Answer

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1003_04/image0024e988f3c.gif http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1003_04/image0034e988f3c.gif http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1003_04/image0044e988f3c.gif http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1003_04/image0054e988f3c.gif

anonymous · Answer

These are the choices

anonymous · Answer

alright so, first, AB is perpendicular to FC

anonymous · Answer

check the first one: no because they don't form 90 angles.

anonymous · Answer

Statement                                                   Reason
Line AB is perpendicular to Line FC
Line DE is perpendicular to Line FC                      Given
Line AB is congruent to Line DE
Angle DEF is congruent to Angle BAC

Angle FDE=90 degrees and                                Definition of 
Angle ABC=90 degrees                                    Perpendicular Lines

Angle FDE is congruent to Angle ABC                 Substitution

Triangle ABC is congruent to triangle EDF               Angle-Side-Angle

anonymous · Answer

That's the two-column proof ^

anonymous · Answer

attachment

anonymous · Answer

Do you have a guess?

anonymous · Answer

No idea...

anonymous · Answer

Alright. With the very first part of the proof, you can see if the choice makes sense. Look at lines FC and AB. See if they look perpendicular and tell me what yo think.

anonymous · Answer

I think its the first choice

anonymous · Answer

That's the only one that has an actual line "FC"

anonymous · Answer

Ok, do you see where I'm coming from though @J.L. ? Exactly. All of the others don't make sense.

anonymous · Answer

Yea, that's what I was doing but I was getting confused

anonymous · Answer

Ok. Just making sure :)