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
IF YOU Want To Make A MILLION DOLLARS - WATCH THIS!|Kevin O'Leary
First of all, you know, I guess I should apologize. I haven’t been back on the tube in weeks because I’ve been crazy busy shooting season 12 of Shark Tank in itself, which is an extraordinary feat. I gotta do a big shout out to the cast and crew on this b…
Cryopreservation Explained | Explorer
Now some people elect for a different procedure. I just switched over to neuro preservation because everyone that works at Alor is signed up for neuro, so you just have to assume that’s the better thing. About half our members make one choice, half the ot…
Difference between wealth and income | Macroeconomics | Khan Academy
Before talking more about inequality, I think it’s worth talking about the difference between wealth and income. Wealth and income often get confused in conversations about inequality. As you can imagine, these two things move together. You tend to associ…
Solving equations by graphing: graphing calculator | Algebra 2 | Khan Academy
We are told we want to solve the following equation: that the negative natural log of 2x is equal to 2 times the absolute value of x minus 4, all of that minus 7. One of the solutions is x is equal to 0.5. Find the other solution. They say hint: use a gra…
Finding an in-between frame of reference | Special relativity | Physics | Khan Academy
Let’s say I’m person A here in my ship, traveling through the universe at a constant velocity. So that is person A right over there. Let me write it a little bit bigger: person A. And let’s say that I have a friend, person B, and they are in another ship…
Molarity | Intermolecular forces and properties | AP Chemistry | Khan Academy
In this video, we’re going to talk about one of the most common ways to measure solute concentration in a solution, and that is molarity. Molarity is defined as the number of moles of solute (the thing that we are dissolving in a solvent) divided by the l…