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Mathematics 22 Online
OpenStudy (seaturtle113):

Help with two Geometry questions please! Fan and testimonial and medal!

OpenStudy (seaturtle113):

OpenStudy (seaturtle113):

OpenStudy (seaturtle113):

Okay, so I'm slightly confused... I really need to start paying attention during class. :///

OpenStudy (31356):

LOL

jimthompson5910 (jim_thompson5910):

Triangle ACD and triangle ACB share what side?

OpenStudy (seaturtle113):

Side AC

jimthompson5910 (jim_thompson5910):

So that's what goes in line 2 AC = AC (reflexive property)

OpenStudy (seaturtle113):

So that goes in the reflexive

OpenStudy (seaturtle113):

Yeah! Okay.

OpenStudy (seaturtle113):

So what goes in the third line?

jimthompson5910 (jim_thompson5910):

well that part is a bit convoluted, but I think it's trying to get you to say "if AD || BC, then the alternate interior angles are congruent" (which leads you to say that < 2 = < 3)

OpenStudy (seaturtle113):

so do I write AD II BC or do I write corresponding or something?

OpenStudy (seaturtle113):

This is that part that is confusing me the most.

jimthompson5910 (jim_thompson5910):

To be honest, I have no clue what they want you to write *exactly* (since computers are very picky sometimes), but it will be along those lines of what I wrote above.

jimthompson5910 (jim_thompson5910):

The basic idea is that if you have 2 parallel lines, then the alternate interior angles will be congruent (if you have a transversal line cutting both parallel lines)

OpenStudy (seaturtle113):

Okay.. gotcha.. So line 4 would be DCA = BAC??

jimthompson5910 (jim_thompson5910):

good, by what property?

OpenStudy (seaturtle113):

Is that the Angle Side thing?

OpenStudy (seaturtle113):

I think that would be Side, Side, Angle which is SSA

jimthompson5910 (jim_thompson5910):

you have the following to choose from SSS SAS ASA AAS HL

jimthompson5910 (jim_thompson5910):

SSA is the only property that isn't a congruence property

OpenStudy (seaturtle113):

Lol.. I'm good at this... xP

OpenStudy (seaturtle113):

NOT!!

jimthompson5910 (jim_thompson5910):

well just keep practicing and you'll get better

jimthompson5910 (jim_thompson5910):

you do have 2 pairs of sides but notice how the angle is in relation to those sides

OpenStudy (seaturtle113):

Is it SAS?

jimthompson5910 (jim_thompson5910):

yep

jimthompson5910 (jim_thompson5910):

because the angle is between the sides

OpenStudy (seaturtle113):

Great!!! :D Okay... so then 5 would be C=A

jimthompson5910 (jim_thompson5910):

no because that's too vague

jimthompson5910 (jim_thompson5910):

however you can say < 1 = < 4 and that's more specific

OpenStudy (seaturtle113):

Okay then six is AB II CD and what would be in the last blank?

jimthompson5910 (jim_thompson5910):

yep and the last statement is ALWAYS what you want to prove

jimthompson5910 (jim_thompson5910):

the reasoning behind why AB || CD is true is the converse of the last theorem I put up "if a pair of alternate interior angles are congruent, then the lines are parallel"

jimthompson5910 (jim_thompson5910):

something along those lines

OpenStudy (seaturtle113):

Okay thanks so so much!!!

jimthompson5910 (jim_thompson5910):

you're welcome

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