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geometry ch 5
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Gravity
Terms in this set (19)
midsegment
a segment connecting the midpoints 2 sides of a triangle
3
how many midsegments does a triangle have?
midsegment theorum
the midsegment is half the length of the 3rd side and is parallel to the 3rd side
perpendicular bisector
a line which bisects a segment and is perpendicular to the segment (must have boxes and tick marks)
equidistant
to be the same distance from 2 or more different things
perpendicular bisector theorum
if a point is on the perpendicular bisector of a segment, then it is equidistant to the endpoints of the segment
angle bisector theorum
if a point is on the bisector of an angle, then it is equidistant to the sides of the angle
point of concurrency
the point where 3 or more lines intersect
lkf
every triangle has 3 perpendicular bisectors which meet at a point of concurrency called the circumcenter
circumcenter theorum
the circumcenter is equidistant from the verticies of the triangle
kangcept
the triangles on each side of the perpendicular bisectors are congruent to each other
inside the triangle
where is the perpendicular bisector on an acute triangle
on the hypotenuse
where is the perpendicular bisector on a right triangle
outside pf the triangle
where is the perpendicular bisector on an obtuse triangle
incenter theorum
the incenter is equidistant from the 3 sides of the triangle
inside the triangle
where are the angle bisectors located?
median
a segment which starts at a vertex and ends at the midpoint of the opposite side of a triangle
centroid theorum
the centroid divides each median into 2 smaller segments in a ratio of 2:1
altitude
a segment which starts at a vertex and is perpendicular to the opposite side
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