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
Electronegativity and bond type | States of matter | High school chemistry | Khan Academy
Electro negativity is probably the most important concept to understand in organic chemistry. We’re going to use a definition that Linus Pauling gives in his book “The Nature of the Chemical Bond.” So, Linus Pauling says that electron negativity refers to…
Why You Want Your Doctor To Be a Psychopath
When you hear the word “psychopath,” what comes to mind? Serial killers? Members of the mafia? Hardened criminals? What if I told you psychopaths are also surgeons, lawyers, and civil servants? By the end of this video, you will want your surgeon to be a …
Steve Varsano featured by Business Jet Traveler August 2015
With the cost of pre-owned jets coming down, this is an opportune time for business ship travelers to consider moving up to full ownership of an aircraft. We spoke to some industry insiders about this value proposition. Owning an aircraft is not for every…
BITCOIN TO $500,000 - What You MUST Know
What’s up, Graham? It’s guys here, and I’m not gonna lie, sometimes it feels like we’re living in the golden era of the finance and investment community. Although I realize that “golden era” might not be the proper term here because we’re not talking abou…
This Video Is A Lie
Time travel is confusing, and can have drastic effects. Imagine a world where you were the last living grandson of Hitler. You grew up reading and learning the terrible things that your grandfather did, and you realize that this isn’t what you want your f…
Space Probe Cemetery | Exomars: The Hunt For Life
The first successful Mars mission was in 1964. Along the way, Mars would become the space probe cemetery. Bogalusa, a lot of space probes have been lost along the way; some of them we lost track of upon their arrival. Others flew past the planet without s…