Two Column Proofs - Proving a Parallelogram Is a Rhombus - Geometry

This geometry video tutorial explains how to prove if a parallelogram is also a rhombus using two column proofs. The theorems used in this includes the vertical angle theorem, the AAS triangle congruence postulate, CPCTC, definition of an angle bisector, and the base angle theorem for isosceles triangles.
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 Parallelograms:
• Proving Parallelograms...
Proving a Quadrilateral Is a Kite:
• Proving a Quadrilatera...
__________________________________
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,...
_______________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

[@zelda1420]

Yay! In the state test last year, I hadn't been in Geometry yet, and I had to prove a shape was a rhombus. I had no clue how to do it, and I was unhappy. I skipped the question, already low on time. This year, in Geometry, we never learned how to prove a shape was a shape! We took a break from proofs in this unit. Everyone else was happy, but I was not because I wanted that skill in my arsenal. I asked my teacher about it, and he didn't explain it very much. This video has satisfied me, so I thank you.

[@arijitdas7608]

Angle BEA is rt. angle, not angle BAE.

[@al1.x.s]

When proving triangles are congruent, you have three methods:
Side - Angle - Side
Angle - Side - Angle
Side - Side - Side
If you're doing the method A.S.A., then you have to choose an common side between the two angles...
In the first example he wrote, he proved that *triangle AEB is congruent to triangle DEC*.. but the angles he chose did not have a common side.. so from how I see it I feel like the statements he wrote in the first example were wrong..

[@hadmeinthefirsthalfngl2717]

@nezox yeah

[@commentman7746]

2:25
∠BEA not ∠BAE

[@sasifrancism.812]

This is exactly on my gf's homework lmao
Edit: Btw, just kidding.

[@kunalkapur7872]

He probably meant for it to be there since def on perp visector

[@RaniRani-zt2tr]

you probably mean bisector not visector imao

[@shreksfoot7376]

@@RaniRani-zt2tr you probably meant lmao not imao

[@RaniRani-zt2tr]

@@shreksfoot7376 sometimes I say lmao and sometimes imao

[@judelyntana4085]

how angle BAE becomes right angle? sir it should be angle BEA in 5:50. :)

[@nicholdemarco4994]

soooooo true

[@lazyboy6804]

6:00 yeah he draw BEA while talking about BAE.I thik he is tired.

[@RaniRani-zt2tr]

true

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for another incredible video/lecture on Two Column Proofs/Proving a Parallelogram Is a Rhombus. These two column proofs continue to be problematic, however repetition and memorization will also help with the theory in Geometry.

[@ravpqyi]

i just need to copy this answers😎i know BAE is wrong,it should be BEA,(the statement on my modules is also wrong)

[@PubicGore]

A parallelogram is a rhombus if and only if the parallelogram is a rhombus. The video title should be "Two Column Proofs - Proving a Rhombus is a Parallelogram - Geometry."

[@stelashila5024]

[@arijitdas7608]

Exactly.

[@RaniRani-zt2tr]

this is really well explained but there are mistakes

[@user-wy4pt4lg5v]

A parallelogram is not a rhombus but a rhombus is a parallelogram

[@jeremynavarro1240]

im bout to kms i still do not understand any of this proofs bs

[@PubicGore]

Nothing bs about it.

[@aishanisamriddhi9501]

Hey 👋 buddy

[@f1memes_4life]

What!??

[@lebronjames2345]

same

[@f1memes_4life]

@@lebronjames2345 oh hey lebron

[@yoyoz14]

bro u deserve a sub ! u saved my life BRO THANK YOU SO MUCH

[@sangamsubba9770]

BEA 🎉