Chapter 5 Flashcards
(15 cards)
If it is the same distance from the objects
Equidistant
The length of the perpendicular segment from the point to the lime
Distance from a point to a line
When three or more lines intersect at one point
Concurrent
The point at which they intersect is the ___________
Point if concurrency
The point of concurrency of the perpendicular bisectors of a triangle
Circumcenter of a 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. You can say the circle is _____________ the triangle
Circumscribed about
The point of concurrency of the angle bisectors of a triangle. Always the center of the triangle
Incenter of the triangle
In the diagram, points X, Y, and Z are equidistant from P, the incenter of angle ABC. P is the center of the circle that is __________ the triangle
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.
Attitude of a triangle
The line that contain the altitudes of a triangle are concurrent at the _____________
Orthocenter of the triangle
A segment connecting the midpoints of two sides of the triangle
Midsegment of a triangle
You can conclude that a square must contain a certain number if you can eliminate the other three numbers as possibilities. This type of reasoning is called ________
Indirect reasoning
A proof involving indirect reasoning
Indirect proof
