Chap. 5 Vocabulary Flashcards
If a circle is inside a triangle, touching each side, then the circle is said to be _____ in the triangle.
inscribed
The _____ from a point to a line is the length of the perpendicular segment from the point to the line.
distance
If a triangle is inside a circle, touching at each vertex, then the circle is said to be _____ about the triangle.
circumscribed
A segment that connects the midpoints of two sides of a triangle and is parallel to the third is _____
midsegment of a triangle
The point of concurrency of the lines containing the altitudes of a triangle
orthocenter
A line, ray, or segment that is perpendicular to a side of a triangle at the midpoint of the side.
perpendicular bisector
_____, meaning the same distance.
equidistant
The point of concurrency of the angle bisectors of a triangle
incenter
If two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is opposite the larger included angle.
hinge theorem
Three or more lines that intersect at the same point.
concurrent lines
A proof involving indirect reasoning.
indirect proof
The point of concurrency of the perpendicular bisectors of a triangle.
circumcenter
A ray that divides an angle into two adjacent angles that are congruent.
angle bisector
In this reasoning, all possibilities are considered and then all but one are proved false.
indirect reasoning
The perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side.
altitude