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13 Cards in this Set

  • Front
  • Back
triangle inequality theorem
the sum of the lengths of any 2 sides of a triangle must be greater than the 3rd side
a segment from a vertex to a poin on the opposite side forming a right angle
where all 3 altitudes meet, altitudes creat 3 sets of similar triangles
angle side relationships
the wider the angle, the longer the opposite side
hinge theorem
if 2 sides of a tringle are congrient to 2 sides of another triangle and the inclused angle of the 1st is larger than the included angle of the 2nd, then the 3rd side of the 1st is longer than the 3rd side of the 2nd
where all the angle bisectors meet
midsegment theorem
the segment connecting the midpoints of 2 sides of a triangle is parallel to the 3rd side and 1/2 its length
segment with 1 endpoint at a vertex and the other enpoint on the midpoint of the opposite side
a segment which connects the midepoints of 2 sides of a triangle
angle bisector theorem
if a point is on the bisector of an angle, then it is equidistant from the 2 sides of the angle
where all the medians meet, center of gravity for a triangle
where all of the perpindularr meet, the circumcenter is equidistant from every corner
perpindicular bisector theorem
if a point is on the perpindicular bisector of a segment, then it is equidistant from the endpoints of the segment