Geometry Unit 3 terms

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Circumcenter

Circumcenter

the point of concurrency of the three perpendicular bisectors of a triangle

Incenter

the point of concurrency of the three angle bisectors of a triangle

Orthocenter

The point of concurrency of the altitudes of a triangle

Centriod

The point of concurrency of the medians of a triangle

The Euler Line

a segment passing through the circumcenter, centroid, and orthocenter of a triangle

Perpendicular Bisector

A line that is perpendicular to a segment at its midpoint.

Angle Bisector

a ray that divides an angle into two congruent angles

altitute

the perpendicular segment from a vertex of the triangle to the line containing the opposite side

Median

a segment whose endpoints are a vertex and the midpoint of the opposite side

concurrent

three or more lines that intersect at one point

center of gravity

Another term for centroid of a triangle

inscribed circle

a circle that is inside the triangle. Made by using the incenter.

circumscribed circle

a circle that is outside the triangle. Made by using the circumcenter.

Incenter Conjecture

The incenter of a triangle is equidistant from the sides of the triangle.

Circumcenter Conjecture

The circumcenter of a triangle is equidistant from the vertices of the triangle.

Angle Bisector Conjecture

If a point is on the bisector of an angle, then it is equidistant from the sides of the angle

compass

A tool used to construct circles and arcs.

protractor

A tool used to measure and draw angles.

Straightedge

a ruler with no markings on it

Ruler

A straight tool used to measure small distances