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Chapter 5 Vocabulary
the vocab for chapter 5
19
Mathematics
9th Grade
01/18/2011

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Term
altitude (of a triangle)
Definition
a perpendicular segment from a vertex to the line containing the side opposite that vertex
Term
centroid
Definition
the point of intersection of the medians of that triangle
Term
circumcenter (of a triangle)
Definition
the point of concurrency of the perpendicular bisectors of the sides of a triangle
Term
circumscribed (about)
Definition
a circle is circumscribed about a polygon of the vertices of the polygon are on the circle; a polygon is circumscribed about a circle if all the sides of the polygon are tangent to the circle
Term
concurrent
Definition
when three or more lines intersect at one point (they are concurrent)
Term
contrapositive
Definition
the contrapositive of the conditional "if p, then q" is "if not q, then not p"; contrapositive and its conditional have the same truth value
Term
coordinate proof
Definition
the style of proof of using coordinate geometry and algebra
Term
distance from a point to a line
Definition
the length of the perpendicular segment from the point to the line
Term
equivalent statements
Definition
statements with the same truth value
Term
incenter (of a triangle)
Definition
point of concurrency of the angle bisectors of the triangle
Term
indirect proof
Definition
solving a proof using indirect reasoning
Term
indirect reasoning
Definition
reasoning by which all possibilities are considered and then all but one are proved false
Term
inscribed in
Definition
an angle is inscribed in if the vertex of the angle is on the circle and the sides of the angle are chords of the circle
Term
inverse
Definition
the inverse of "if p, then q" is if not p, then not q"
Term
median (of a triangle)
Definition
segment that has endpoints at the vertex of the triangle and the midpoint of the opposite side
Term
midsegment (of a triangle)
Definition
the segment that joins the midpoint of two sides of the triangle
Term
negation
Definition
the negation of a statement has the opposite meaning of the original statement
Term
orthocenter (of a triangle)
Definition
the point of intersection of the lines containing the altitudes of the triangle
Term
point of concurrency
Definition
the point at which lines intersect
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