Geometry Basic Vacabulary! (Ray, Line Segment, Point, Plane, Angles, Perpendicular...)

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Uploaded by on Jul 9, 2011

-----Basic Geometry terms (not all in video)----------------------------------
Point - A location in space - a dot on a piece of paper Line Connects twopointsvia the shortest path and continues indefintely (forever) inboth directions Line SegmentPart of a line between two points Perpendicular Line Segment Line Segments that intersect (cross) at an angle of 90Parallel Line Segments Line segements that never intersect (they are always the same distance apart) Right Angle An angle that measures 90°Acute AngleAn angle that measures less than 90Obtuse AngleAn angle that measures more than 90 Vertex Point at which two line segments intersect (forming an angle) Scalene Triangle A triangle with all three sides with different lengthsIsosceles Triangle A triangle with two equal length sides (and two equal internal angles) Equilateral Triangle A traingle with all three sides of equal length (each internal angles = 60 Radius Distance (line segment) from center of a circle to any point on that circle's circumference. Diameter
A line segment (or length) joining two points on a circles circumference and passes through the circle's center (twice the length of the radius)Circumference Distance around a circle (the perimeter)Chord A line segment joining two points on a curve. Arc Part of a curve
-----------Advanced Terms and Theorms-------------------------
midpoint theoremif M is the midpoint of AB, the AM is congruent to MB
ruler postulatethe points on any line segment can be paired with real numbers so that, given any two points A and B on a line, A corresponds to zero, and B corresponds to a positive real numbsegment addition postulate
if B is between A and c, the AB+BC= AC. If AB+BC=AC then B is between A and Cprotractor postulategiven ray AB and a number r between 0 and 180, there is exactly one ray with endoint A extending on either side of ray AB, such that the measure of the angle formed is rangle addition postulateif R is the interior of angle PQS, then the measure of PQR plus the measure of RQS equals the measure of PQS. If the measure of angle PQR plus the measure of RQS equals the measure of angle PQS, then R is the interior of angle PQS. woa that was a lot.supplement theoremif two angles form a linear pair, then they are supplementary anglescompliment theoremif the non-common sides of two adjacent angles form a right angle, then the angles are complimentary anglesvertical angle theoremif two angles are vertical angles, then they are congruentcorresponding angles postulate (congruent)if two II lines are cut by a transversal, then each pair of corresponding angeles is--------
alternate interior angles theorem (congruent)if two II lines are cut by a transversal, then each pair of alternate interior angles isconsecutive interior angles theorem (supplementary)if two II lines are cut by a transversal, then each pair of consecutive interior angles is alternate exterior angles theorem (congruent)if two II lines are cut by a transversal, then each pair of alternate exterior angles isperpendicular transversal theoremIn a plane, if a line is perpendicular to one of the two II lines, then it is perpendicular to the other
parallel postulateif there is a line and a point not on that line, then there exists exactly one line through the point that is parallel to the given line
angle sum theoremthe sum of the measure of the angles of a triangle is 180
third angle theoremif two angles of one triangle are congruent to two angles of a second triangle, then the third angles of the triangles are congruent
exterior angle theoremthe measure of an exterior angle of a triangle has a

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  • named by three non collinear points to be exact :)

  • Thanks, Mr. Devistation!

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