Proof of Midpoint Formula

[EpicSelenium]

I didn't understand this formula intuitively either--I wondered why some other method than averages should not be used. But this proof is rock-solid and I think I will just stick with this formula because I now know precisely why it works. Thank you for this informative video!

[mulimotola]

Finally a correct proof! Youtube has too many "proofs" that assume the formula as part of their "proof". So thank you for making this video

[antoniokhan]

thank you so much it really helped me a lot

[TheBrickagon]

Thank you, you helped me clarify some misunderstandings :)

[minseongkim]

I have a question, I don't know if I'm making sense but anyway. In the video a while ago, you have set the names for points A and B, I was wondering that is it okay to name it the other way? like example, in the video you have named point A as ( x, y1 ), I understand since it falls under the 'm' and 'P1'. So is it okay to use the x first from 'P1' then the y from 'm'? 'cause in the video you used the midpoint's x to be the x for the A and 'P1's y to be the y for A so it will be ( x1, y). Same as for the B. Thank you I hope you reply, but it's okay if not and sorry for my bad grammar hope you understand what I'm trying to say.

[richiemichies]

Thanks a lot. I'm looking for this proof.

[nouraosman]

Thanks very much for you I was searching too much for this prove☺️☺️

[reshmaishi]

I think you have taken this too far. You are unnecessarily complicating this proof. In order to be a good Mathematician, you need to simplify the situation, only use the amount of complication that is necessary. This lengthy theorem is not needed. I will show you simple proof without using congruent triangle. Just because you know congruent triangle theorem doesn't mean that you have to apply it everywhere. But want to give you credit that your methodology is good(naming and style). So the proof goes like this: The point is midpoint, so we have x-x1=x2-x, so we get 2x=x1+x2 or x=(x1+x2 )/2 and same way for y. So see in this case we don't need to use your complex Congruent theorem

[vidhyahharish]

Than derivation your unnecessary talks are more