Studied by 0 people
Incenter
created by angle bisectors; needs right angles and congruent angles; equidistant from a triangle’s sides; always inside; center of an inscribed circle
Circumcenter
created by perpendicular bisectors; needs midpoints and right angles; equidistant from a triangle’s vertices; acute: inside, obtuse: outside, right: midpoint of hypotenuse
Centroid
Created by medians; needs midpoints; always inside; center of gravity/balance; vertex to centroid = 2/3 of the median
Orthocenter
Created by altitudes; needs right angles; vertex connected to the opposite side so it is perpendicular; acute: inside, obtuse: outside, right:on the right angle
To say segments are parallel, you need to prove
Equal slopes
To say one segment is half the length of another segment, you need to prove
Distance formula
You use the Hinge Theorem when given
Angles
You use the Converse Hinge Theorem when given
Sides
Centroid formula
(X1+X2+X3)/3 , (Y1+Y2+Y3)/3
