tangent-segments-to-a-circle-moomoomath

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Tangent Segments to a Circle

If you draw two tangents from a point outside the circle, these two tangents would be congruent.

I call this rule "the party hat rule.

Transcript

Here are the notes for the lesson.

First definition we will go through are the segments.

Last time we focused on angles, central angles, inscribed angles, angles in the circle. This video we will look at segments, and lengths associated with tangents, chords, and secants and tangents. We have a circle and an exterior point and we have two tangents that are drawn to the circle. As we learned, and I will flip this upside down, what rule does this follow? This follows the "party hat rule" Last year we learned the party hat rule. If you have an exterior point and two tangents are on then these two segments are congruent. The lengths of the tangents segments are the same. If we have a circle, and I'm going to draw a circle with a triangle. If we have a triangle drawn and we know this segment right here is 3, this segment is 5, and this segment is 3 we can actually find the perimeter. If this line is 3, then the other half will also be 3 and if this line is 5 then the other segment will be 5 and if the other line is three the other line segment will be 3. We would then add all the segments up and that would be the perimeter. There is the "party hat rule" for two tangents from a common point outside a circle.

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Tagged under: tangent,geometry,circle,point tangency,moomoomath

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