Proving Parallelograms With Two Column Proofs - Geometry

This geometry video tutorial provides a basic introduction into two column proofs with parallelograms. It explains the different ways of proving parallelograms. Here are five ways: 1. opposite sides must be parallel. 2. Opposite sides must be congruent. 3. opposite angles must be congruent. 4. 1 opposite side may be both parallel and congruent. 5. Diagonals must be perpendicular bisectors of each other. This video contains plenty of examples and practice problems. Here is a list of theorems used in these two column proofs: reflexive property, vertical angle theorem, definition of a parallelogram, definition of a midpoint, definition of a segment bisector, addition property of equality, substitution property of equality, definition of congruent segments, segment addition, SAS postulate, ASA postulate, and CPCTC.
Polygons: • Polygons
Angles of Regular Polygons:
• How To Calculate The I...
Quadrilaterals:
• Quadrilaterals - Geometry
Parallelograms:
• Parallelograms - Geometry
Rectangles - Special Quadrilaterals:
• Rectangles - Propertie...
Isosceles Trapezoids:
• Isosceles Trapezoids
_________________________________
The Rhombus:
• Rhombus, Basic Introdu...
Kites:
• Kites, Basic Introduct...
Proving a Quadrilateral Is a Kite:
• Proving a Quadrilatera...
Proving a Quadrilateral Is a Rhombus:
• Two Column Proofs - Pr...
__________________________________
Proving Isosceles Trapezoids:
• Two Column Proofs - Pr...
2 Column Proofs - Quadrilateral:
• Two Column Proofs With...
Skew Lines:
• Skew Lines, Perpendicu...
Points, Lines, Planes, & Segments:
• Points, Lines, Planes,...
_______________________________________
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www.video-tutor.net/
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[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/

[@mn-pegasus]

We all out here struggling with math huh

[@BiG-JuPO1O1]

Yep its killing me this year. I rather do algebra then Geomentry.

[@celeste2221]

@@BiG-JuPO1O1 Broooo samee Geometry looks like a whole different language to mee!!

[@williammuller9623]

@@celeste2221i remembered being scared of algebra before

[@jjfanpage4670]

Dog I got a 20 question geometry test rn and I’m still struggling

[@khanya5340]

@@jjfanpage4670 rn?💀

[@oimobbu2330]

Bless his soul this is gonna save me and my grade

[@oimobbu2330]

IT DID, I GOT AN A ON MY TEST CUZ OF THIS❤️❤️❤️❤️❤️❤️❤️

[@tashnimulmazid9706]

Lmao good job

[@pilot4910]

Pose

[@skhumbuzoxulu9385]

😭😭🥺can we please give this guy a round of applause cause in every video I've watched of him explaining any topic I excelled in that class or topic😹he takes the whole 50 minute lesson in class full of confusion into something simple taught within 20minutes🔥thank youuu

[@footygoatz7552]

15 mins ago,the struggle is real😔

[@skhumbuzoxulu9385]

@@footygoatz7552 😭but we still pushing and grinding

[@juniourkalegga6247]

yep still struggling tommrw test gonna be tough

[@williameyelash4426]

yo how was it

[@Elsayed80]

Hope you past that test 😂

[@nosi9189]

I relate to this comment rn

[@user-pn4wk6tn9d]

How'd it go

[@nosi9189]

@@user-pn4wk6tn9d I passed with a 60 lol...

[@Icejaker]

I hate honors geometry

[@adamfilipkowski8774]

Whos ur teacher?

[@sg-ud2fv]

@@adamfilipkowski8774 ur mom

[@Icejaker]

Adam Filipkowski mr. Ben dover

[@andyh.7428]

Ms. Jack P. Ness

[@theleakyhorcrux535]

Me too :(

[@joules1356]

why am i always having a hard time here

[@carlotiu1308]

"And now we have a problem, I am out of space". Damn I love this guy, no homo.

[@expatrocious]

My question doesn’t have lines in the middle I was just given points :/

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for another lengthy video/lecture on Proving Parallelograms With Two Column Proofs. I found this topic long and somewhat difficult to follow, so I will review this material for a clear and deep understanding.

[@K141Ghost]

You actually helped a lot so here’s a new sub

[@lahiruviduranga5978]

in the fist question cant you use alternative angles and then prow two lines are parallel and congruent

[@Erica-yg2uo]

Litterally somebody tell me how this will help me in my real life job some day.

[@stephaniesguide8320]

It can help you understand your exam and then you pass, earn a degree and get a job😊

[@truezeonic3617]

It doesn't.

[@neglecteduzumakigmailcom]

@@stephaniesguide8320 the matrix system 💀

[@josiahwhite3157]

I’m sayin

[@Little-rb6rb]

how does playing fortnite 8 hours a day help you in your job

[@godslayer158]

What are you using to display and draw your lessons?

[@gabriellepillay4394]

Great video 👍but in tests or Exams they don't give us alot of Given Statements like you have and that's where we tend to get lost

[@mili9781]

Gabrielle Pillay sometimes there’s two in one given statement

[@beakerthebeaver581]

They usually give 2 given statements so his proof is exactly like the test

[@adylynemahaffey4449]

In order to take a retest I need to watch 14 20-30 minute long videos plus fix my test all in 3 days with no time to do so. Thank you for making this really easy for me and wish me luck lol.

[@stephaniesguide8320]

Great video, and lovely explanation

[@Sam-ft8cp]

Thank you so much this helped a lot!

[@lordcooper5889]

For the second proof number 7 can i say that ABCD is a parallelogram and as a reason angles BD and AC are congruent and therefore if opposite angles of a quadrilateral are coungruent then the quadrilateral is a parallelogram without step 8? Pls answer quick and if not explain. I have an exam in two days.

[@lordcooper5889]

Its at 10:03

[@adisonsmith9738]

for the 1st proof, coudn't you just sat that ba=cd because AIA--> parallel? and parallel congruent lines prove parallelogram?

[@ame6863]

Adison Smith that could technically be an iscosceles trapezoid it however you spell that, it needs to be 2 pairs of congruent lines

[@caitlynscholl3839]

this was really helpful... thanks!!!

[@defencematterswithdhruv385]

Thanks you cleared my doubts

[@xpiredyakult]

Hello there. My given parallelogram doesn't have lines in it. What should I do? Should I just get the congruent and parallel opposite sides? Also the interior angles? I'm struggling

[@kokipop6470]

late response but you can usually just plot the lines yourself by using Line Postulate (states that any 2 points has a line within it) let's say you wanted to make 2 diagonals and plot a line connecting the points A and C and B and D like in the video basically in a 2 column proof your statement would be "Plot lines AC and BD" and your reason would be line postulate

[@preciouspets8m396]

@@kokipop6470 tysm ❤

[@nicholassendin6373]

Man was bugging on that last question he could have just said it was congruent and moved but he low-key wrote a whole essay

[@sweetsprite]

thank u i needed this :)

[@clarissestanford]

i was so worried and all 'WHERE'S G!?'

[@Tangerine2600]

sameeee

[@dikeledimathabatha3548]

Thank you very much it helped me understand a lot🙂

[@pierremathieu6632]

De 3❤

[@lucascaffo1386]

Super helpful 👍

[@nicolaskriewall764]

This helped me so much

[@Afhvddj_123]

Sir, please provide me the link of "Droppler effect" of physics.. Thanking you..

[@noobster9999]

So did you get that link after 6 years?

[@amy-kt1th]

@@noobster9999 lol

[@yannah5198]

Thank you so much

[@Pickles665]

I gotta lock in for this midterm

[@hqs9585]

time 20:50, the diagonals bisecting each other DOES NOT man the angle is () , (as you drew it inn your illustration), only rhombuses and squares form right angles at diagonal intercepts. GREAT tutorials , thanks.

[@remilokhandwala6045]

thank you!!!

[@AstroTechian]

the first proof you could've said for step 2 if two lines are cut by a transversal so that the alternate interior angles are congruent then the lines are parallel then for step 3 if one pair of opposite sides in a quadrilateral are both congruent and parallel then the quadrilateral is a parallelogram

[@coreybeshoar8703]

I think steps 7 and 6 are incorrect for your last proof

[@teaghanpollack4489]

tysm this was so so so helpful

[@elisedeeb550]

Thank you so much ❤😭

[@andrewjustin256]

Thank you so much!

[@yanky0424]

Thx very helpful

[@ahmadfallah700]

Great vid, but if we prove that opposite sides are parallel, isn’t that also the case with a rhombus?

[@landonmontano0950]

yes because a rhombus is a parallelogram

[@beakerthebeaver581]

In this video he is proving parallelograms, He wasn’t really proving types of parallelograms.

[@user-pf5nw3wl6h]

Hey sir,what can we reflect about this video?(plss notice me^^)

[@tech_no_logy_1616]

Thank you so much you saved my future from a great risk

[@bobbyno93]

I'm pretty sure half these proofs can be done A LOT faster.

[@nogayangzomtenzin9516]

YOU ARE A GOD THANK YOU

[@stax5745]

where is g ???

[@MeklitTsegaye324]

Thanks a lot

[@undertaker8815]

First and i love u and merry Christmas, happy new year to everyone

[@sheekhchannel6948]

Thanks it is my homework.

[@tyywtf]

Gotta test next period😂😂

[@myyuh99]

thank youuu

[@boed81_]

Thanks

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baket ba di ko gets😭

[@lee-ks6tg]

bro explained in twenty minutes what khan academy tried to explain in an hour

[@MiddleBroski]

got a exam tmr and onlt started studying at 6, wish me luck

[@nachopatel4634]

my teacher is giving me a test 2 days be4 vacation rip

[@ldt4199]

Yk I’m finna fail my yearlys gosh darn

[@gaymf469]

im gonna kms🧍‍♀️

[@Tangerine2600]

have you done it yet? or have you realized that proofs are just a super hard concept to easily grasp the first time around, and that you are still growing as a person?

[@iwantagiantscythe7796]

LMAOOO the fact that I’ve seen u in other geometry videos I’m struggling so hard

[@hexader]

but a kite doesn't have exactly a pair of congruent opposite angles....

[@magicalhazzard6672]

hey sir, can i hire your brain for exams?!

[@skhumbuzoxulu9385]

Lol😹

[@yomumzac2920]

Got a test tom 😢😅

[@kylebiljon5463]

Man 2morows June p2 test ugh

[@toobusycountin50s]

This proves that the world is a simulation…

[@jeronimoadames6624]

Why do you have adds

[@toobusycountin50s]

Great video but my teacher is useless it’s sad I have to go online because they won’t explain it to me

[@demirturkoral1802]

I love you. literally I gotta say. I love you

[@lolo-xf8xr]

Sorry, you can just cut all this short

[@SPICSE]

I fucking love u bro

[@Tangerine2600]

I wanna know how many people here are watching this at 12:00 AM like me

[@alma8882]

I'm not understand any thing

[@sweetmimosa2903]

still don't get it😭💗

[@user-iu4nn4nf6o]

Glean

[@Clear-ij7pk]

i hate year 8 math

[@yu_ba]

I still dont get it 🤠

[@Shourya19]

aur ladke kya haal

[@ethanturkewitz6384]

the final step of the proof is wrong. the reason is not definition of a parallelogram but it is chracterisric of A Paralleloram

[@jeronimoadames6624]

ethan 2 whatever the teacher says kid

[@ryankilburn6966]

they are both the same thing

[@pierremathieu6632]

Oesy

[@avaj3350]

#gonnafail

[@YouKnowImOnMyPeriodYah]

I hate delta math on god

[@pierremathieu6632]

Haha haha

[@RandomPerson-kj2dc]

i give up

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you sound so cute im attracted i cant focus

[@user-jq4fn5tf2i]

wtf pilipenx

[@myyuh99]

💀💀💀💀

[@wongalvin840]

5:01 you dont need to solve it this way, by knowing angle DCA is equal to angle BAC, we can know CD and AB are parallel (alt.angles,equal). So you can prove ABCD a parallelogram (opp sides equal and //)

[@themyst8513]

Thanks