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

Performing a rotation to match figures


2m read
·Nov 11, 2024

Use one rotation to map quadrilateral ABCD to the other quadrilateral. So to map this one to this one right over here, use a number between 0 and 360° to describe the angle. Counterclockwise is positive, so you're going to want to move it counterclockwise to try to get it to map there.

The only option they give us because they want us to do it with one rotation is the rotation tool. We have to think about where—what do we want to rotate around? What point? If we put it right over here, it looks like this point, point A, does correspond to this point right over here.

So, if we were to rotate this around—not 90, but it looks like 180°—around this point, point A would show up over here. It feels like point… Let's see, is that right? Is that right? Or, well, let's actually just try it out. Point A would show up over… No, no, no, that's not right. That doesn't seem to… Let's try it out, because if we rotated 180°... Oh, actually, I was right! It did match up.

That's why this is interesting; it tests your visualization skills. So it did actually match up, and what I did is I put that point of rotation exactly between those points, because it looked like 180° around this point. So, rotation by 180° about (1, -1). The center of rotation is (1, -1), and the angle of rotation is 180°.

Point A maps to this point right over here, so point A maps to the point (1, -1). And point C, which is diagonally opposite point A, maps to this point right over here, which is (6, -6).

We got it right!

More Articles

View All
When you call the US Coast Guard - Smarter Every Day 265
Hey! It’s me, Destin. Welcome back to Smarter Every Day! I recently got to spend some time with the United States Coast Guard, and I gotta say, I was blown away. A lot of people don’t even know about the Coast Guard or think about the Coast Guard, but it’…
Morgan Freeman Decodes the Mark of the Beast | The Story of God
I’ve come to the biblioteca Kasana 10z near the Vatican to meet an expert in early Christianity. Campaigns it–some she tells me she has compelling evidence that reveals the identity of the beast. [Music] Good morning, so what exactly do we have here? …
Living Up Close and Personal With an Active Volcano | National Geographic
It matters that there’s a volcano. It matters. It matters a lot because that’s, um, 75% of the identity of this place. The volcano is present; the volcano is breathing. The, uh, the volcano really is a living creature. It’s a bit of a romantic representa…
Unlocking The Power Of The "HALO Effect": What You Need To Know
So today I want to talk about the deeper psychology of looking and feeling your best, and I want to talk about something really really interesting: it’s called the halo effect. Halo effect is a psychological phenomenon that has been studied extensively, a…
I FOUND THE BEST BANK ACCOUNTS OF 2020
What’s up you guys, it’s Graham here! So I think it’s finally time I give you an update on the best bank accounts of 2020 that will make you the most amount of money possible just for keeping your savings with them. Because, unfortunately, a lot has chan…
Commas and introductory elements | Punctuation | Grammar | Khan Academy
Hello, grammarians! Uh, Paige and I are here to teach you about introductory elements in sentences and how commas relate to them. Paige, what, how do we—how should we define what an introductory element is? So, it’s pretty much, uh, something that happe…