How to Determine if Similar Figures Are Congruent

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Determining if similar figures are congruent will require you to pay close attention to a few key characteristics. Determine if similar figures are congruent with help from a math professional in this free video clip.

Part of the Video Series: Math Concepts
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Video Transcript

Hi, I'm Rachel, and today we're going to be going over how to determine if similar figures are congruent. So let's say we have two figures here, two triangles, and we know that they're similar, which means that not only do they have the same angles, but that the sides correspond, right, same sides, we know that the sides are proportional, but if we want to know if they're congruent, we have to find out if the sides are equal as well. So, similar figures means same angles, right? And proportionate sides. Congruent figures means same angles and same sides. So, if these two triangles are, let's say they're 45-45-90 right triangles, right? So then we know that the angles are the same, and we know that the sides are proportional, right? So maybe this, so they're all going to be x, x, and x root two, because that is the proportion of a 45-45-90 right triangle as you should know from geometry. But, if we want to find out if they are congruent, well we simply have to measure and see if the sides are congruent. If we know that this is three and this is three root two, then this will also be three, and if this, you know, is gonna be five root two, then no, they're not congruent, they're just similar. But if we find out that this is three root two, then we know that this will also be three, this will also be three, and that they are congruent figures. I'm Rachel, and thank you for learning with me today.


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