How to Teach Congruent Figures to Students

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Congruent figures are first taught to students in basic form at the elementary level. Teach congruent figures to students with help from an experienced mathematics educator in this free video clip.

Part of the Video Series: Math Lessons & Tips
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Video Transcript

Hi, my name is Marija, and today I'm going to show you how to teach congruent figures to students. So at the elementary level when we first teach them we say that we have the same shape and they also have to have the same sides. Now this is usually how you introduce it at an elementary level so when you show students a square and another square, you make sure that they can overlap each other and there wouldn't be any boundaries, nothing would come outside of it. But as the students get older, you want to teach them the same shape actually means the same angle measurements. Because then we can get more precise in deciding whether or not two shapes are actually congruent. So if we're looking at two triangles and we want to prove they're congruent, not only do the students have to show that the sides all have the same lengths and we would show that by showing that one notch is equal to one notch in this triangle and the two indicate two over here and the third side is congruent to the third side. But then in addition to that we have to show that the amount of degrees here in this first angle are equal to the amount of degrees in the first angle in the other triangle. And the same thing with the second angle and the same thing with the third angle. So as they get older you have to teach them that the figure has to have the same exact angles as well as the same exact lengths of the sides in order to be considered congruent.

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