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Video Notes 12.4 for Geometry

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hello everybody notes for Section 12.1 awkward set of properties see but let's get into its contents notes 12.4 to title is angle measurements and segment lengths here is your first Air Max Thea two lines intersecting within the circle in you have this angle right here measure of angle one notice of this is not a central angle a couple days ago not a central angle here with some random England Circle City creates or this intersection of two lines creates two arcs X and Y measure of angle one is half of the sum of arc length x + Arc Length y k here is the next film term 12.14 and we looked at these scenarios in the last lesson you have a pair of intersecting lines in each scenario and for each scenario you have these intersecting lines intersecting angles and arcs within the circle and these are the three scenarios you either have two tangent line 3/8 in X and Y as such right you have the two lines intersecting X and Y such 1 lines of tangent in the other is intersecting the circle in two places where you have two intersecting lines that intersect the circle right right to the middle cream these two arcs X and Y free scenario this angle created by the intersecting lines on the outside ankle on the outside is Ark on the far side x minus y to the difference of the two Arc measures divided / 2 will be equal the angle measurement is a vocab or theorem really it's a vocabulary for the word secant what exactly does that mean it's intersects a circle at two different points okay so it's not a line segment be a line that travels infinite a line that intersects a circle at two different points okay so here's my car they're here are a couple of scenarios for a secant notice that I have two lines right intersecting NSA intercepts Circle two different points I have these four sections ABCD and property the product of 8 and speed is going to be equal to the product of c x c that's one property that is interesting to look at here's another one for this scenario two intersecting lines with a point of intersection being on the outside intersect a circle with the four parts your second ABCD well segment on the outside I'm so products hi or times the sum of these two parts going to be equal to look at the other line the parts on the outside lights and it's on the outside B * the sum of these two parts another it's a bit obscure but not interesting properties that exist within circles and then the last one is here remind can you have a line intersecting the circle with lines check on the outside you have a section fee in your section CMD well this section B squared is equal to the product of again the section of the outside Dee times the sum of what sections together section 12.4 I'll see you guys soon bye bye

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Video Notes 12.4 for Geometry

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