SAMPLE College Math
Chapter 3: Geometry
Overview Geometryisanessentialpartofmathematics,asitprovidesgeometricreasoningtoproblemsolving.We alldealwithdifferentgeometricshapesinourdailylives,likecircles,triangles,rectangles,squares,etc. Forinstance,yougofordailywalkinarectangularparkandyouneedtoseehowmanymilesyouwalk daily, so you can find out by learning about the perimeterofthatrectangle.Similarly,youwanttoget your windowpaintedwhichlookslikeasemi-circleonthetopofasquare,andthepainterasksyouto payhim$2.50persquaremeterofthatwindow.Sohereyouneedtobeawareabouttheareaoftriangle and semi-circle. Similarly, there are many more instanceswhereyoumakeuseofgeometricalshapes around you. The courseingeometrywillprovideyouwithbasicskillsinlines,triangles,quadrilaterals, and circles that will hone your problem-solving in dealing with different shapes. In this chapter, you will learn abouttheconcepts,classification,propertiesandtheoremsoftriangles, differentquadrilateralsandhowtheydifferfromeachother,parallelandperpendicularlinesinaplane
and circles. Objectives
By the end of the chapter, you will be able to learn the concepts and their application in:
● Triangles and their types ● Area and perimeter of triangles ● Quadrilaterals- classification, area, and perimeter ● Parallel and perpendicular lines ● Circles and its properties, circumference, and area ● Theorems of circles to measure different angles A. Triangles
Triangles can be defined as any geometric figure which has three angles and three sides. Before we move to understand the properties and application of triangles, let us understand different types of angles. Angles canbeclassifiedasacuteangles(thatmeasureslessthan90 0 ),rightangles(measures exactly90 0 ),obtuseangles(measuresmorethan90 0 ),andstraightangle(measuresexactly180 0 ).The shapes of these angles look like the ones given here:
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