Lecture 10.5 - Tangents

Tangent

→​ a line in the same plane as a circle that intersects the circle in exactly one point.

That's not the tangent we're used to... or is it?​

Point of Tangency

→​ the point of intersection between circle and tangent

ouch!

Common Tangent

→​ line, ray, or segment that is tangent to two circles in the same plane

ouch!

Can you predict the relationship between point of tangency and center?

Figures > Words

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Can you imagine making a right triangle from this? Couldn't be me 😏

Again, can you imagine making a right triangle from this? Couldn't be me 😏

But really, can you imagine making a right triangle from this? Couldn't be me 😏

​When a polygon circumscribes a circle, the sides of the polygon become tangents. Each vertex of the polygon is called an external point where the tangents intersect. The distance from the external point to each point of tangency is the same.