Chapter 5 Flashcards
If the point is the same distance from the two objects then it is
Equidistant
The length of the perpendicular segment from the point to the line
Distance from a point to a line
When three or more lines intersect at one point they are
Concurrent
The point at which they intersect
Point of concurrency
The point of concurrency of the perpendicular bisectors of a triangle
Circumcenter of the triangle
Since the circumcenter is equidistant from the vertices, you can use the circumcenter as the center of the circle that contains each vertex of the triangle
Circumscribed about
The point of concurrency of the angle bisectors of a triangle
Incenter of the triangle
The letter in the center of the circle
Inscribed in
A segment whose endpoints are a vertex and the midpoint of the opposite side
Median of a triangle
The point of concurrency of the medians
Centroid of the triangle
The perpendicular segment from a vertex of the triangle to the line containing the opposite side
Altitude of a triangle
The lines that contain the altitudes of a triangle are concurrent at the
Orthocenter of the triangle
All possibilities are considered and then all but one are proved false
Indirect reasoning
A proof involving indirect reasoning is an
Indirect proof
A segment connecting the midpoints of two sides of the triangle
Midsegment of a triangle