Geometry A Unit 3 Flashcards
Acute triangle
A triangle in which all three angles are acute.
Acute angle
An angle whose measure is less than 90°.
Adjacent angles
Two angles in the same plane that have a common vertex and a common side, but no interior points in common.
Angle
The union of two noncollinear rays that have a common end point.
Auxillary Line
A line introduced in a figure to make a proof possible. (Model 3)
Bisector of an Angle
A ray that is in the interior of the angle and divides the angle into two angles of equal measure.
Comlementary Angles
Two angles with measures that, when added together, equal 90°. Each angle is called the complement of the other.
Consecutive Vertices
The endpoint of one side of a polygon
Consecutive Sides
Any two sides of a polygon that have a common end point.
Corollary
A statement that is easily proved by applying a theorem. (Model 4)
Triangle
The union of three segments determined by three noncollinear points.
Transversal
A line that intersects two or more coplanar lines in different points.
Supplementary Angles
Two angles with measures that, when added together, equal 180°. Each angle is called the supplement of the other.
Skew Lines
Two lines that do not lie in the same plane
Scalene Triangle
A triangle in which no two sides have the same length
Remote Interior Angles
With respect to an exterior angle, the two interior angles of the triangle (Model 2)
Right TRiangle.
A triangle in which one of the angles is a right angle.
Right Angle
An angle whose measure equals 90°
Diagonal of a Polygon
A segment joining two nonconsecutive vertices
Polygon
Any closed figure bounded by three or more segments that only intersect at their end points. The segments are called the sides and the end points are called the vertices of the polygon.
Regular Polygon
A polygon with all the angles equal and all the sides equal.
Parallel Planes
Planes that have no point in common.
Parallel Lines
Lines that are in the same plane and have no points in common. (| | lines)
Obtuse Trianlge
A triangle in which one angle is obtuse.