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19 Cards in this Set

  • Front
  • Back
altitude of a triangle
perpendicular segment from a vertex to the line containing the side opposite that vertex
centroid
the point of intersection of the medians of that triangle
circumcenter of a circle
the point of concurrency of the perpendicular bisectors of a triangle
circumscribed about
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
concurrent
three or more lines that meet in one point
contrapositive
switches the hypothesis and the conclusion and negates both
coordinate proof
a figure is drawn on the coordinate plane and the formulas of slope, midpoint, and distance are used to prove properties of the figure.
distance from a point to a line
is the the length of the perpenduclualr segment form the pint to the line
equivalence statements
statements with the same truth value
incenter of a triangle
point of concurrency of the angle bisectors of a triangle
indirect proof
proof that involves the use of indirect reasoning
indirect reasoning
a type of reasoning in which all possibilities are considered and then all but one are proved false. The remaining possibility must be true.
inscribed in
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.
inverse
Negation of both hypothesis and conclusion
median of a triangle
segment whose endpoints are a vertex and the midpoint of the opposite side
midsegment
segment that connects the midpoints of two sides
negation
statement that has the opposite truth value
orthocenter if a triangle
point of concurrency of the altitudes of a triangle
point of concurrency
point where 3 or more lines intersect