yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Congruent shapes and transformations


less than 1m read
·Nov 10, 2024

We're told Cassandra was curious if triangle ABC and triangle GFE were congruent, so he tried to map one figure onto the other using a rotation. So, let's see. This is triangle ABC, and it looks like at first he rotates triangle ABC about point C to get it right over here. So, that's what they're depicting in this diagram.

Then they say Kasan concluded it is not possible to map triangle ABC onto triangle GFE using a sequence of rigid transformations, so the triangles are not congruent. So, what I want you to do is pause this video and think about: is Kasan correct that they are not congruent because you cannot map triangle ABC onto triangle GFE with rigid transformations?

All right, so the way I think about it, he was able to do the rotation that got us right over here. So, there's rotation about point C. And so, this point right over here, let me make sure I get this right, this would have become B prime, and then this is A prime, and then C is mapped to itself, so C is equal to C prime.

But he's not done. There's another rigid transformation he could do, and that would be a reflection about the line FG. So, if he reflects about the line FG, then this point is going to be mapped to point E just like that. And then if you did that, you would see that there is a series of rigid transformations that maps triangle ABC onto triangle GFE.

So, Kasan is not correct; he missed one more transformation he could have done, which is a reflection.

More Articles

View All
Homemade FLAMETHROWER: Mind Blow 6
A tree that bleeds, and if less than 10 of your asparagus contains beetle eggs, it’s good to eat. Vsauce, Kevin here; this is mind blow! Many claim Castlevania 2: Simon’s Quest is the first game to feature multiple endings, which would be true, except for…
15 Things You Didn't Know About GUCCI
Fifteen things you didn’t know about Gucci. Welcome to A Luxe Calm, the place where future billionaires come to get inspired. Hello, A Luxor’s, and welcome back to another fantastic video! Thanks to the huge response to our high-end fashion videos, we’ve …
I Asked Bill Gates What's The Next Crisis?
Derek: So how did it feel to make this prediction and then have the world essentially not listen and not prepare? Bill Gates: Well, there’s no good feeling that comes on something like this saying, “I told you so.” If anything kills over 10 million peopl…
AP Physics 1 Review of Charge and Circuit | Physics | Khan Academy
[Voiceover] Electric Charge is a property that some, but not all fundamental particles in nature have. The most commonly talked about fundamentally charged particles are the electrons, which orbit the outside of the atom. These are negatively charged. The…
The Angel Philosopher Naval Ravikant on Reading, Making Decisions, Habits, and the Purpose of Life
[Music] Hey, it’s Shane Parrish, and welcome to a new episode of The Knowledge Project, where we deconstruct actionable strategies that you can use to make better decisions, learn new things, and live a better life. This time around, we have the amazing N…
Killer Snowballs | Science of Stupid
Welcome to the Science of Stupid Christmas Grotto! As you can see, we have spared literally no expense with the decorations. But what would really make my Christmas would be to wake up on the big day to a fresh dusting of snow. Nothing beats that gentle c…