![]() ![]() And because these two houses are identical to Windows, which are in the same place on the two houses, must also be identical. Now, every time I say the word identical, you think congruent. Because these two houses are in that location, they must be identical as well. These two houses are in a housing development where all the houses are identical. Well, I could use a line of reasoning that kind of went something like this. So let's say I was trying to prove for whatever reason, right? That this window and this window were identical. ![]() Then any parts of the houses that correspond to one another must be congruent as well. The idea behind CPC TC is if I know that these two houses are congruent. Except for maybe the color, right? So you could say that these are congruent houses. These two houses are absolutely identical. So you've probably all been by one of those housing developments where every single house looks the same, right? You might even live in one of those things. So I like to talk about CPC TC as a type of reasoning that we use. Obviously, there's many words in this that you understand, like congruent triangles, congruent, right? But corresponding parts, that's a little bit confusing too. Now, that's a mouthful, and it can be kind of confusing. Corresponding parts of congruent triangles are congruent. We're going to be using it a lot, and we're going to really want to understand the reasoning behind it. Well, obviously describe what that acronym means what all the letters stand for. If you haven't figured it out, CPC TC is an acronym, and it's the most important acronym in all of geometry. My name is Kirk weiler and today we'll be doing unit three lesson number four CP CTC. ![]() Possibly, even this information can be used to prove different triangles or maybe promises or squares or anything else are congruent.Hello and welcome to common core geometry by E math instruction. Sometimes proving that two triangles are congruent isn’t immediate stop in order to get to another proof about line segments or angles. We can also use this to prove that for the same reason which is CPCTC.Īnd we can also show that because congruent parts of congruent triangles are congruent (CPCTC). Then, we can use this to a lot of things. Our reason is simply that congruent parts of congruent triangles are congruent (CPCTC). We can list any corresponding parts of this triangle as being congruent.īecause we know corresponding parts of congruent triangles are congruent.Īfter this step, which is normally our last step, we can prove that The important thing is after we prove that we can show a lot of things. So if we proved that, we proved that these two triangles are congruent using Angle-Side-Angle. Īnd let’s just pretend that we already proved that, , and. When we’re writing proofs with statements and reasons chart, one step is. Side and side corresponds to each other so they are congruent. Likewise, side is across from and side is across from, so and corresponds to each other. The angle corresponds to angle which makes them congruent with each other.Īngle corresponds to angle so they are congruent. Video-Lesson TranscriptĪ lot of times when we’re working on our proof, the objective is to prove that two triangles are congruent.īut sometimes, we just don’t prove two triangles are congruent, we prove other information as well.Ĭongruent triangles have corresponding parts of one triangle are congruent to another triangle.Īngle corresponds to angle, so they are congruent. As a result, any corresponding parts of the triangles are congruent. Let’s say that the two triangles are already congruent to each other. With CPCTC, we can utilize congruence to prove parts of triangles congruent. When writing proofs, we are not always directed to prove two triangles congruent but rather parts of the triangles congruent.
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