What Makes Triangles Congruent?

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Triangles can be congruent if they meet a certain number of characteristics. Learn about what makes triangles congruent with help from an experienced mathematics professional in this free video clip.

Part of the Video Series: Algebra
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Video Transcript

Hi, my name is Marija. I'm a mathematician, and today I'm going to tell you what makes triangles congruent. So there's two things that you need in order for triangles to be congruent. One, they need to have congruent sides, that's the symbol for congruent but secondly, they need to have congruent angles. So two things that you need in order to see if the triangles are congruent. If they have congruent sides of the same length and they have congruent angles of the same measure then they are congruent, so you might have a triangle and the way that you'll represent it is if that has one dash then we would represent congruent by saying that that has one dash also and then if this has two dashes, this would have two to show they're congruent and if this has three this would also have three indicating that those are all congruent. So the sides are all congruent in these triangles but then furthermore I need to have this angle congruent to its corresponding angle. I need to have this angle congruent to its corresponding angle and by corresponding I mean this angle was between sides I'll call it 1 and 2 because of the dashes. So it's corresponding angle is also between sides 1 and 2. And then my last angle will have to be congruent to this one. So as long as my triangles have all the same angles and all the same sides, then those triangles are indeed congruent triangles. My name is Marija, and I just told you what makes triangles congruent.

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