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Geometry Regents Review

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Collinear Points

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Terms in this set (103)

Collinear Points

points that lie on the same line

complementary angles

have a sum of 90 degrees

supplementary angles

have a sum of 180 degrees

exterior angle theorem

in a triangle; two interior angles equal the opposite exterior angle (x+y=z)

in a triangle; intersection of medians, (2x+x=3x)

in a triangle; intersection of altitudes

in a triangle; intersection of angle bisectors, center of inscribed circle

in a triangle; intersection of perpendicular bisectors, center of circumscribed circle

all angles less than 90 degrees, orthocenter, incenter, circumcenter, centroid all inside triangle

obtuse triangle

one angle greater than 90 degrees, orthocenter, circumcenter located outside, incenter, centroid located inside triangle

equilateral triangle

all angles equal (120 degrees) ortho-, in-, circumcenter, and centroid all inside and interest at same location

one angle is 90 degrees, ortho- and circumcenter on triangle, incenter and centroid inside triangle

square root of (X2-X1)^2+(Y2-Y1)^2

sum of interior angles

sum of exterior angles