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Dive into the fundamental concepts of geometry like points, lines, rays, and angles. Understand planes, vertex, and types of angles such as acute, right, and obtuse. Learn about parallel, perpendicular, and intersecting lines, as well as vertical and adjacent angles. Start your geometric journey here!
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Geometry Concepts Introduction Point, Line, Ray, Angles
Def: location in space Label with capital letter Def: set of points extending infinitely in both directions Label two points on the line AB Point Line Point D B D A
C B A Plane • Def: a flat surface extending endlessly in all directions plane BAC
Def: part of a line with two endpoints Label the two endpoints Def: part of a line, one endpoint, extends infinitely in one direction Label endpoint and one other point AB CD Ray Line Segment D A C B
HIS S I H vertex SIH Angle • Def: two rays with a common endpoint, called the vertex • Label and name in three ways S H I
o o o = 90 90 90 and o = 180 o 180 Acute: Right: Straight: Obtuse:
o o o 50 40 45 Def: the sum of the measures of two angles = 90 Def: the sum of the measures of two angles = 180 o o o 135 Complementary angles: Supplementary angles: + +
Def: two lines in the same plane that never intersect B D G F A AB CD EF GH E C H Parallel Lines PerpendicularLines Def: two lines that intersect to form right angles
Def: Two lines that cross at a common point F 1 G 4 P 3 EF GH 1 2 4 3 2 E H intersects at point P Intersecting Lines Vertical Angles Def: Opposite pairs of congruent angles formed by intersecting lines
o 360 180 and o ReflexAngle
1 and 2 are adjacent angles 1 2 AdjacentAngles Def: two angles with a common vertex and a common side but no common interior points