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Proving Triangle Congruence and Similarity

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Now we know about different kinds of triangles and their characteristics, so we should be able to look at two triangles and say whether they are similar, congruent, or unrelated. For more information on what that means and how to do it, check out this clip! It's chock-full of theorems.
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Опубликовано:

21 авг 2024

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Комментарии : 32

@Rushan_sk 7 месяцев назад

(Please pin this comment) Key Points of the Video: 00:02 Geometry involves proving things using logic. 00:43 Triangles can be similar or congruent 01:17 Proving triangle similarity with proportional sides or identical angles 01:43 Triangles must be similar regardless of side lengths 02:14 Triangle congruence and similarity explained 02:43 Hypotenuse-leg and angle side angle theorems 03:12 Proving triangles congruence and similarity. 03:45 Proving triangle congruence and similarity is essential for calculating information about triangles.

@FrancescoDiSiena 3 дня назад

he didn't pin it (i think you are 6 years late)

@kripashankarshukla4073 6 лет назад

Sir congratulations for 100K subscribers. Now I am sure that all my friends have subscribed you. Thank you sir for your video

@namon2287 6 лет назад

Professor Dave, please please make a video on Law of Definite Proportions and Law of Multiple Proportions. It's a relatively difficult mathematical concept in chemistry to understand AT FIRST, and many people would be lucky to see how you explain first (because you are awesome!!)

@ProfessorDaveExplains 6 лет назад

i talk about those in my clip about the history of atomic theory!

@drosha9314 6 лет назад

thank you professor dave

@irodaikromxonova9556 3 года назад

Thank you Professor!

@anuragtiwari2270 6 лет назад

Happy diwali sir.. one of major festival of India

@JakeLinAu 2 месяца назад

Great videos!😃

@FrancescoDiSiena 3 дня назад

writing down everything in this episode hurt my hand

@Sccoropio Год назад

professor dave could you please post all the slides used in this playlist somewhere?

@yatishsharma6987 6 лет назад

Nyc vedio

@Gigiwithlove_x 4 года назад

thanks fo this

@ReimskyToussaint 4 года назад

Is it now formally accepted to use/say "equal" where "congruent" is traditionally expected? Or is it to benefit students. I am also both a loved of learning and teacher. Would appreciate some feedback. (Also, this is nitpicking, but I would stretch that 30-60-90 ∆ sketch horizontally a bit for a more accurate representation) Thanks for your videos.

@carultch 2 года назад

The reason we say congruent instead of equal, is that the triangles could be flipped, rotated, moved, applied to different parts of a figure, and all sorts of variations. Congruent simply specifies equality in the context that geometry cares about, when comparing shapes of the same type, size, ratios, and angles.

@NoActuallyGo-KCUF-Yourself Год назад

No, that is not at all accepted. Congruent and equal are different. Equal or equivalent means same magnitude or value. Congruent means same size (equivalent) and same shape (similar) simultaneously. Two triangles can be equal to each other but be neither similar nor congruent.

@theguythatdoesmath9863 2 года назад

What about the ASS theorem? (idk if that exists, but it might, and im too lazy to find out)

@NoActuallyGo-KCUF-Yourself Год назад

That's known as the ambiguous case - i.e. there could be two solutions.

@OPTIONALWATCH 3 года назад

What about to prove if two figures are similar but not congruent?

@carultch 2 года назад

You simply need to prove that two out of 3 of the angles are identical, and then you prove that triangles are similar. Or prove that enough of the side lengths, come in proportion to each other.