Triangle Proportionality Theorem, Side Splitter Theorem & Angle Bisector Theorem - Geometry

This geometry video tutorial provides a basic introduction into triangle proportionality theorems such as the side splitter theorem and the triangle angle bisector theorem. It explains how to set up a proportion to find the missing sides of a triangle and to solve for x and y. It also explains how to calculate the distance between parallel lines that are cut by two transversals using proportions. This geometry video tutorial contains plenty of examples and practice problems.

Polygons:

Quadrilaterals:

Skew Lines:

Points, Lines, Planes, & Segments:

Triangles - Basic Introduction:

Number of a Diagonals In a Polygon:

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Ratios and Proportions - Means Extreme:

Similar Triangles:

Similar Triangles - Enlargement Ratios:

Triangle Similarity - SSS, SAS, & AAA:

Altitude on Hypotenuse Theorem:

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Pythagorean Theorem:

The Distance Formula:

Distance Between 2 Points - 3D:

Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[josephdarcourt]

learned more in the first 2 minutes than the past week in geometry, thank you so much

[kyleronanmeintjes]

You are absolutely the best! You make the work much more easier to understand and I hope you never stop helping others with their math and science problems

[blessingsnachalwe]

You're the best man.
You organize data systematically...
And the explanations are clear...
Keep it up man
All the way from Zambia..👌🏼👍👍👏

[helenday]

I didn't understand EVERY thing in this video (ie, last 2 minutes, I got a bit lost), but I learned so much useful stuff overall, including those generally useful (and sometimes indeed VITAL) maths techniques that OCT reminds us of and gives us practice on now and again, for which I am so grateful.

[joaohax]

This theorem's proof is too beautiful. You should make a video about it!

[georgesadler]

MR. Organic Chemistry Tutor, thank you for another fantastic video/lecture on the Triangle Proportionality Theorem, Side Splitter and Angle Bisector Theorems in Plane/Solid Geometry. I found this topic a bit challenging, so I will continue to review this subject matter for a deep understanding.

[haroondebela]

Thank you so much. I am learning new things everyday with you!

[kurki_]

you taught me more in 23 minutes than i did 2 months, thanks chemistry tutor

[sherzodchulliyev]

Thales Theorem - paralles lines divide triangle sides proportionally. You can't use size-split theorem for parallel lines.
Angle bisector theorem - if a ray bisects the angle, the opposite side is proportional to its adjacent sides

[aarcher]

Just do the top bottom method 8 over 12 =6 over x then cross multiply 8x= 72 then divided by 8 on both sides giving you 9

[georgefrancis]

Thanks alot man !
I appreciate your hard work !

[kavyasoni]

Why does 8y change to 14y in question 3

[ThatRandomBlenderGuy]

so helpful wouldnt have passed if I hadnt watched this!

[lancefranzhontiveros]

I hope that i could get some high score thank you for everything you made my day!

[SahilKumarAneja]

The side splitter theorem is the converse of the triangle proportionality theorem. Would it have been more accurate to have written Triangle Proportionality Theorem up top when explaining that problem?

[rickastley]

Idk if you know that 17 whole egyptian schools completely depend on you

[ladyamael]

please start making tutorial videos for college students
i pass my GCE with A s thanks to you but i need you again

[dogperson]

my teacher looking at me watching this video finally understanding everything after he just teached me this for a month: 😃

[ms]

Thx I really needed this and it really helped

[أحمدحمودة-قش]

Pove the theorem of angle bisector and proportional parts pls