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
Formula 1 Driver's INSANE Watch | First Time Reviewing H.Moser & Cie
This is craftsmanship. This is what we love in Swiss traditional watchmaking. What a dial! It just explodes! Smoky hot, it’s beautiful. Good [Music]. Question: this is wonderful. Here with a story of a rather unique brand, it’s H. Moser, but everybody ju…
How to Stop Taking Things So Personally
Miscommunication is a daily occurrence. Oftentimes, we aren’t doing a very good job when it comes to interpreting what people say or understanding the reasons why they say it. A common mistake is creating a story around a specific situation, which revolve…
Every Type of Wealth (Explained)
You know, money is just one of the 15 ways a person can be rich. In order to achieve real wealth in life, your goal should be to check off as many of these types of riches as you can. Here’s every type of wealth explained. Okay, so let’s start off with t…
5 Good Philosophies To Live By
Pay attention to what we’re about to tell you now because this is really important. There are many ways in which you can experience life, but not all of them will bring the same amount of joy, peace, and fulfillment when the game is finally over. In fact,…
How winds affect planes!
You can make it to South Africa; however, this is with no wind. So now, this was the winds last week at 35,000 ft. We’re going to put a 50-knot wind, and normally you could see that the winds around the world generally go from west to east. So, even thou…
Explorers See Greenland's Glaciers Like Never Before | National Geographic
[Music] Lots of people who have tried before us had failed, and all of their aircraft are scattered across the ice cap. You ready? Oh yeah! When thinking about flying a tiny helicopter across the North Atlantic, the answer is no, way too dangerous, ab…