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

Information for congruency


2m read
·Nov 10, 2024

So, I have two triangles depicted here and we have some information about each of those triangles. We know that this side of this left triangle has length eight. We know that this side has length seven, and then we know that this angle is 50 degrees.

On this triangle, we see some things that look a bit a little bit familiar. This triangle, this side has length eight. This side has length seven, and this angle right over here has a measure of 50 degrees.

So, my question to you is: Can you definitively say, not assuming that these are drawn to scale because they actually aren't, can you definitively say that these triangles are congruent? Or could you definitively say that they aren't congruent? Or can you not say either? Would you have to say that there's not enough information?

Pause this video and think about that.

So essentially, what we have here are two pairs of sides that have the same length and an angle, but that angle is not between those two sides. If the angle were here and here, then we could use side angle side or side angle side to deduce that, hey, these are congruent. But that's not what we're dealing with; we are dealing with side side angle versus side side angle.

I'm saying the side and the side before the angle because otherwise, if I don't do that, it becomes a little bit crass. So, we're really saying a side side angle is not sufficient to prove congruency.

The reason why it's not is that you can actually construct different triangles with the same constraints. For example, on this rightmost triangle, it could look like this, or it could look like this. The seven side could go down like this and intersect just like that.

Now, you might be saying, "Hey, that's not what it looks like." It looks very similar, but remember we're not going on looks; we have to go based on the information they've given us.

So, you could just as easily, based on the information and the constraints they've given us, have a triangle like this. The very fact that you can create two different triangles that are clearly not congruent based on the exact same information and the exact same constraints tells you that that information, those constraints, are not enough to tell you that these are congruent triangles.

More Articles

View All
How to sell a corporate jet!
Yes, sir. I have a customer from overseas who would like to purchase an airplane. Do you know what kind of airplane he’s looking for? From what I understand, they’re looking at a Lear Jet 60XR. Does that mean anything to you? Yeah, I know it does, but th…
Could A.I. Help Cure Cancer? #Shorts
Many people don’t have the required knowledge or willpower to follow through with the plans and make the behavioral changes necessary to improve their health. Thankfully, this is another area in which AI can help. Machine learning can be used to personali…
SUPER RARE $34,000 Mont Blanc Will DOUBLE in Value | Kevin O'Leary |
[Music] From Germany, just send them straight out the door. Okay, thanks a lot, let’s go upstairs. Welcome to Miami. [Music] So, just coming from—well, we have the head of—we have the head of VP of retail, and I think one of the marketing people are brin…
What it’s like to watch a Total Solar Eclipse
It’s August 21st, 2017, the day of the total solar eclipse. I’m in Madras, Oregon. The skies are clear. My sky tracker, it’s meant to move the camera with the sky, so it compensates for the Earth’s rotation. That should help me keep the sun in shot as the…
Capturing the Impact of Avalanche Rescue Dogs | National Geographic
[Music] It’s impossible to spend time with animals and not walk away feeling that something else is going on in there. I’m very passionate about trying to tell a story about animal intelligence, so this assignment with National Geographic on avalanche dog…
Classical Japan during the Heian Period | World History | Khan Academy
What we’re going to do in this video is talk about roughly a thousand years of Japanese history that take us from what’s known as the Classical period of Japan through the Japanese medieval period all the way to the early modern period. The key defining c…