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Geometry Ch. 5
Chapter 5 Defintions
19
Mathematics
10th Grade
01/14/2011

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Term
altitude of a triangle
Definition
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 if 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
three or more lines that meet in one point
Term
contrapositive
Definition
"if p, then q." "if not q, then not p."
Term
coordinate proof
Definition
style of proof; proves Triangle Mid-segment Theorem
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
the point of concurrency of the angle bisectors of the triangle
Term
indirect proof
Definition
a proof involving indirect reasoning
Term
indirect reasoning
Definition
a type of reasoning in which all possibilities are considered and then the unwanted ones are proved false
Term
inscribed in
Definition
A circle is inscribed in a polygon if the sides of the polygon are tangent to the circle. A polygon is inscribed in a circle if the vertices of the polygon are on the circle
Term
inverse
Definition
"if p, then q." "if not p, then not q."
Term
median of a triangle
Definition
a segment that has its endpoints a vertex of the triangle and the midpoint of the opposite side
Term
midsegment
Definition
the segment that joins the midpoints of two sides of the triangle
Term
negation
Definition
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 three or more lines intersect
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