samjshah.com - Continuous Everywhere but Differentiable Nowhere | I have no idea why I picked this blog name, but there's no turning back now

Description: I have no idea why I picked this blog name, but there's no turning back now

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In Geometry, we have seen the importance of the perpendicular bisector. It’s kinda amazering! And before we delve too far into rotations of figures (which, again, have a lot to do with perpendicular bisectors), my co-teacher and I wanted to do some sort of investigation.

Now, after doing this, I can see what I did as being something that could introduce the awesomeness of the perpendicular bisector. It could be our anchor problem. However, we had already introduced it. So I thought this little aside would be a fun solidification of what we’ve already learned.

(To be clear, students have learned that the perpendicular bisector of a segment is the set of all points that are equidistant from the endpoints of the segments, that the three perpendicular bisectors of the sides of any triangle meet at one intersection point, and that one intersection point is the center of the circle containing all three vertices of the triangl e)

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