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Geo Topic A Vocab
| Term | Definition |
|---|---|
| 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. |