Thanks for this. Sadly, most math teachers don't have the time or resources to give enough individual attention to students. They even have to rush their lessons and units if they're advanced math teachers.
Forever grateful omg thank you so much you're so good at teaching this! I'm taking Honors Geometry and my teacher teaches way too fast and I didn't understand, but this just made it a whole lot easier.
Thank you this channel helped me a lot. i cant subscribe coz i dont need to watch all of vids but when i dont know somethin. i know where to go everytime. thanks
What software and hardware do you use for those blackboard like drawings? I'm guessing the hardware has to be a drawing pad like Wacom because the drawings look handwritten. I would like to do something similar on my own. Cheers
7:49 you write XY/AB = BC/YZ I think YZ should be the numerator in this ratio because isn't XYZ the bigger triangle? Dividing the smaller into the bigger will yield a bigger k than dividing the bigger into the smaller. that's the only part I'm confused about. thanks sal :)
So sss is the ratio between the congruent sides and sas is the ration between the sides or the scale up from the other sides but what so are they different or not i could not follow any of this
When we draw two triangles with three equal angles but of different sizes of length then the ratios between the corresponding sides of these triangles is not the same for all sides. Can we then say that AA similarity is not true ? Please can someone help me by solving this 🙏 I'm confused
is there a proof of the relationship between congruent angles and proportional sides? I.e. what guarantee do I have that if I determine two triangles have congruent angles that their sides will be proportional?
With two angles you can really think of it as all three angles. (Angle 3 = 180 - (angle 2 + angle 3)) Three angles give you the shape of the triangle. (They don't give you the actual lengths but instead the ratios between the sides.) When two triangles are similar it just means they have the same shape
Yes, that is a good way to think of it, but I'm after something different here. It is clear that if an object has the same shape as another the difference in size can be analyzed as a ratio. so far so good, but in virtue of what are we guaranteed that constructing a line parallel to any side will result in that line cutting the other two sides in proportion equal to the original triangle? I don't doubt that this happens any more that I doubt gravity's existence. But acknowledging gravity does not explain it. What I'm after is a deductive proof that appeals to the connection between the angles and the lengths of the sides and makes that connection clear..
Why would you not call the "SSS" postulate the "SSS ratio" postulate. It would seem describe the specific situation better, as well as making the postulate different from the "SSS" congruence postulate. It would also describe how to derive your k value for the similarity scalar. My two cents.
Thanks for this. Sadly, most math teachers don't have the time or resources to give enough individual attention to students. They even have to rush their lessons and units if they're advanced math teachers.
Requiae in America perhaps. Here in Australia, teachers are expected to try and help individual students
Stop reading the comments and pay attention.
Mariel Days 😔 you got me chief
Stop commenting and pay attention.
Thank you so much. My geometry teacher does not teach me and I did not understand it until now.
I think I'm going to show my math teacher this resource. Excellent work.
Forever grateful omg thank you so much you're so good at teaching this! I'm taking Honors Geometry and my teacher teaches way too fast and I didn't understand, but this just made it a whole lot easier.
Hows ur life now
Best math teacher
I love this man lol you're amazing thanks khan academy
"Let me draw another triangle" x50
Thank you this channel helped me a lot. i cant subscribe coz i dont need to watch all of vids but when i dont know somethin. i know where to go everytime. thanks
7:50 to 7:55, I believe the correct fraction is YZ/BC, not BC/YZ
thanks for making maths so interesting!!
Great explanation.
THIS GUY IS BETTER THAN MY MATHS SCHOOL TEAVHER AND EVERY TIME HE SAVES ME,I HAVE A EXAM TOMMROW✌🏻
Same
Please also do a video of Basic Proportionality therorem and similar triangles areas theorem
You probably don’t need that anymore
AfroGum I do tho
What software and hardware do you use for those blackboard like drawings? I'm guessing the hardware has to be a drawing pad like Wacom because the drawings look handwritten. I would like to do something similar on my own. Cheers
dang this was posted in 2011 yet its still useful now
i thank you for this
who is watching during 2020? because their geometry teacher assigned it and didn't wanna teach us :)
Bhari 1 number
Fantastic explanation! :)
7:49 you write XY/AB = BC/YZ I think YZ should be the numerator in this ratio because isn't XYZ the bigger triangle? Dividing the smaller into the bigger will yield a bigger k than dividing the bigger into the smaller. that's the only part I'm confused about. thanks sal :)
Did u like ur own comment jw lol
i am in 11th grade but still stuck on 10th grade math :(
My teacher made this so confusing. Thank you so much!!!
So sss is the ratio between the congruent sides and sas is the ration between the sides or the scale up from the other sides but what so are they different or not i could not follow any of this
thnx verry helpful!!! ;)
When we draw two triangles with three equal angles but of different sizes of length then the ratios between the corresponding sides of these triangles is not the same for all sides. Can we then say that AA similarity is not true ? Please can someone help me by solving this 🙏
I'm confused
is there a proof of the relationship between congruent angles and proportional sides? I.e. what guarantee do I have that if I determine two triangles have congruent angles that their sides will be proportional?
With two angles you can really think of it as all three angles. (Angle 3 = 180 - (angle 2 + angle 3)) Three angles give you the shape of the triangle. (They don't give you the actual lengths but instead the ratios between the sides.) When two triangles are similar it just means they have the same shape
Yes, that is a good way to think of it, but I'm after something different here. It is clear that if an object has the same shape as another the difference in size can be analyzed as a ratio. so far so good, but in virtue of what are we guaranteed that constructing a line parallel to any side will result in that line cutting the other two sides in proportion equal to the original triangle? I don't doubt that this happens any more that I doubt gravity's existence. But acknowledging gravity does not explain it. What I'm after is a deductive proof that appeals to the connection between the angles and the lengths of the sides and makes that connection clear..
AA Similarity Postulate If two angles of ones triangle are congruent to two angles of another triangle?
Is SSA a triangle similarity?
No its side side angle
Why would you not call the "SSS" postulate the "SSS ratio" postulate. It would seem describe the specific situation better, as well as making the postulate different from the "SSS" congruence postulate.
It would also describe how to derive your k value for the similarity scalar.
My two cents.
Just hi 🙋🏽
Sadly I can't like this because it's at a historically significant number.
God i just saw i'm using it after 9 years!
who else came cuz they have a quiz tomorrow
How was the quiz bro
his last name is khan
SAS is a mere claim; Sal actually didn't give a proof
thx papa
I'm still baffed lmao. ur using big words ah
What did the librarian tell the kids?
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Gotcha
who knows what a khan means is
i dont understand
He sounds like vitalyzdtv xD
I dont get it im in 8th
tri valley gang
I will tell a joke
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fail
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