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Mathematics 16 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

I can post the figures

OpenStudy (anonymous):

or you can draw it XD.

OpenStudy (anonymous):

These are the choices

OpenStudy (anonymous):

alright so, first, AB is perpendicular to FC

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

That's the two-column proof ^

OpenStudy (anonymous):

OpenStudy (anonymous):

Do you have a guess?

OpenStudy (anonymous):

No idea...

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

I think its the first choice

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Ok. Just making sure :)

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