Some Vocab to know:
Inscribed angles – are half of central angle and half of their intercepted arcs
Chords intersecting in a circle: products (multiplying) of segments are equal
Central angles – 360/n
Tangent lines intersect a circle in one place only
If a tangent meets a radius/diameter they will be perpendicular.
Something is inscribed if it is inside
Something outside is “circumscribing”
Any angle made by intersecting chords, if not a central angle, can be found by taking the average of the two intercepted arcs. In picture below x = (170+70)/2
Any angle made by intersecting chords, if not a central angle, can be found by taking the average of the two intercepted arcs. In picture below x = (170+70)/2
Median: go from vertex to middle of opp. Side
intersect @ CENTROID – 2:1 ratio going on inside
intersect @ CENTROID – 2:1 ratio going on inside
Perpendicular bisector: Perpendicular and goes through middle
intersect @ CIRCUMCENTER – center of circle outside triangle
intersect @ CIRCUMCENTER – center of circle outside triangle
Angle bisectors: lines that cut angle in half
intersect @ INCENTER – center of inside triangle
Altitude – perpendicular to opposite corner: HEIGHT
(intersect in orthocenter but don’t need to know)
intersect @ INCENTER – center of inside triangle
Altitude – perpendicular to opposite corner: HEIGHT
(intersect in orthocenter but don’t need to know)
Its like you read my mind! You appear to know a
ReplyDeletelot about this, like you wrote the book in it or something.
I think that you could do with a few pics to drive the message home a bit, but other than that, this is wonderful blog.
A great read. I'll certainly be back.
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