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Geo Topic A Vocab

TermDefinition
Geometric Construction A set of instructions for drawing lines, circles, and figures in the plane.
Circle The set of all points in the plane that are a distance r from a center point C.
Line Segment The set consisting of all the points on a line between two specified points.
Radius A segment from the center of a circle to a point on the circle.
Angle The union of two non-collinear rays with the same endpoint.
Angle Addition Axiom If B is in the interior of angle AOC, then m AOB +m BOC= m AOC
Angle Bisector An angle bisector cuts an angle into two congruent parts.
Collinear Three or more points that are contained on the same line.
Complementary Angles TWO angles whose measures add up to 90 degrees
Degree A unit of measurement of an angle. A full circle is divided into 360 arcs of equal length. A central angle for any of these arcs has an angle measure 1 degree.
Equilateral triangle A triangle with all sides of equal length.
Figure A set of points in a plane.
Interior The interior is the set of points in between the two rays, the region that is convex in an angle. The other region is called the exterior of the angle.
Length of a Segment The distance from point A to point B on line AB.
Linear Pair two adjacent angles that form a straight line.
Midpoint a point on a segment that divides the segment into two congruent segments.
Segment Addition Axiom If point B is between points A and C, then AB+BC=AC
Segment Bisector A line, ray, line segment or plane that intersects a line segment as its midpoint
Straight Angle an angle that measures 180 degrees
Supplementary Angles TWO angles whose measures add up to 180 degrees
Zero Angle a ray that measures 0 degrees
Altitude A line segment through a vertex that is perpendicular to the line containing the base (opposite side)
Equidistant A point A is said to be equidistant from two different points B and C if AB=AC
Perpendicular if two lines intersect in one point, and any of the angles formed by the intersection of the lines are right angles.
Perpendicular Bisector a segment that passes through the midpoint and forms right angles with the given segment.
Right Angle An angle that's measure is 90 degrees
Concurrent When three or more lines intersect in a single point
Point of Concurrency the point of intersection when three or more lines are concurrent
Circumcenter of the Triangle The point of concurrency of three perpendicular bisectors of the sides of the triangle
Incenter of the Triangle The point of concurrency of the three angle bisectors of a triangle
Centroid The point of concurrency of the three medians of a triangle, also known as the center of gravity of the triangle.
Orthocenter The point of concurrency of the three altitudes of a triangle.
Theorem: If two angles form a linear pair then they are supplementary
Theorem: Every plane contains at least three non-collinear points
Theorem: Given any two distinct points there is exactly one line that contains them
Theorem: To every pair of points A and B there corresponds a real number AB, called the distance from A to B.
Created by: user-1500810
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