[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-489579-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-489579-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","basic-geometry-definitions-chapter-11","Basic Geometry Definitions - Chapter 11","","This document provides a comprehensive overview of fundamental geometric concepts and definitions essential for introductory mathematics. It covers primary elements including points, lines, rays, and planes, while detailing various angle classifications such as acute, obtuse, and right angles. Additionally, the text defines complex shapes like polygons, triangles, and quadrilaterals, along with their specific subtypes. Finally, it outlines essential circular measurements including radius and diameter, serving as a clear study 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in 2 directions  \nLine Segment – a collection of points with a definite beginning and end  \nRay – directed line segment  \nAngle – 2 rays that converge on one point  \nVertex – where 2 rays meet  \nPlane – the area in 2 dimensional object  \nInside area is a plane  \nStraight angle – 180 degrees  \nRight angle – 90 degrees  \nAcute angle – smaller than 90 degrees  \nObtuse angle – larger than 90 degrees  \nComplementary – 2 angles added together equal 90 degrees  \nSupplementary – 2 angles added together equal 180 degrees  \nIntersecting lines – 2 lines that intersect at 1 point  \nParallel lines – 2 lines in the same plane that do not intersect  \nPerpendicular lines – are 2 lines that intersect and form 2 right angles  \nVertical angles – 2 intersecting lines creating vertical angles opposite from each other  \nPolygon – a shape that is many sided (all the sides have to be straight lines)  \nTriangle – 3 sided figure  \nEquilateral – all sides are the same Equiangular – all angles are the same  \nIsosceles – two sides are the same size  \nScalene – all the sides are different  \nAcute – all 3 angles are less than 90 degrees  \nObtuse – 1 angle is greater than 90 degrees  \nRight – 1 angle is 90 degrees  \nQuadrilateral – 4 sided figure  \nTrapezoid – 2 sides of the 4 are parallel  \nParallelogram – opposite sides are parallel  \nRectangle – parallelograms with right angles  \nSquare – parallelograms with right angles and all 4 sides are the same  \nCircle – a collection of points equidistant from 1 center point  \nRadius – is from the center of the circle to the edge of a circle  \nDiameter – is a line segment that connects to points on the circle that passes through the center","cbCaigxFubWQbhgp","https://ap.wps.com/l/cbCaigxFubWQbhgp","pdf",50441,"English","# Geometric Fundamentals\n## Lines and Angles\n## Polygons and Shapes\n## Circular Measurements","[{\"question\":\"What is the difference between a line and a line segment?\",\"answer\":\"A line is a collection of points that continues forever in two directions, whereas a line segment is a collection of points with a definite beginning and end.\"},{\"question\":\"How are complementary and supplementary angles defined?\",\"answer\":\"Complementary angles are two angles that added together equal 90 degrees, while supplementary angles are two angles that added together equal 180 degrees.\"},{\"question\":\"What distinguishes a square from a rectangle?\",\"answer\":\"Both are parallelograms with right angles, but a square specifically requires that all four sides are the same length.\"}]","Basic Geometry Definitions - Chapter 11 | PDF",1790824948,13]