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Geometry Ch 5 Fitch FMS
Terms in this set (18)
5-1 Midsegment (Triangle)
Connects the midpoints of 2 sides of a triangle; parallel to 3rd side; half the length of the 3rd side.
Equal distance from 2 or more objects.
5-2 Distance from Point to a Line
Length of the perpendicular segment from the point to the line.
3 or more lines, rays, or segments that intersect at one point.
5-3 Perpendicular Bisector (Triangle)
Located at a midpoint; at a right angle.
5-3 Circumcenter (Triangle)
The point of concurrency for the perpendicular bisectors; equidistant from all 3 vertices; can be inside, outside, or on the triangle.
5-3 Circumcircle (Circumscribed about) (Triangle)
A circle drawn on the outside of a triangle; contains each vertex; center is the circumcenter.
5-3 Angle Bisector (Triangle)
Originates at a vertex; bisects the angle.
5-3 Incenter (Triangle)
The point of concurrency for the angle bisectors; equidistant from all 3 sides; always inside.
5-3 Incircle (Inscribed in) (Triangle)
A circle drawn on the inside of a triangle; touches each side; center is the incenter.
5-4 Median (Triangle)
Originates at a vertex; connects to the midpoint of the opposite side.
5-4 Centroid (Triangle)
The point of concurrency for the 3 medians; split into 1/3 and 2/3; center of gravity; balance; always inside.
5-4 Altitude (Triangle)
Originates at a vertex; at a right angle to the opposite side.
5-4 Orthocenter (Triangle)
The point of concurrency for the 3 altitudes; can be inside, outside, or on the triangle.
5-6 Will the sides form a triangle?
Short + Medium > Long (S + M > L)
8-1 Is it a right triangle?
Pythagorean Theorem a2 + b2 = c2
5-6 Range of lengths for third side?
Lower limit: subtract the 2 given lengths. Upper limit: add the 2 given lengths.
5-7 Hinge Theorem
If two sides of one triangle are congruent to two sides of another triangle, then the longer third side is across from the larger included angle.
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