CK12 - Geometry

10. 11. 8 AnglePairs LearningObjectives Understandand identifycomplementaryangles. Understandand identifysupplementaryangles. U ...

Thus,the valueof is 56º. Example 2 The two anglesbeloware complementary. Whatis the measureof eachangle? This problemis a bit mo ...

Just like complementaryangles,supplementaryanglesneednot be congruent,or eventouching.Their definingqualityis that whentheir mea ...

However, and are not adjacentsincethey overlap(i.e. they sharecommonpointsin the interiorof the angle). Now we are readyto talk ...

The valueof is 9. Now substitutethis valuebackinto the expressionsto determinethe measuresof the two anglesin the diagram. The t ...

So measures80º. Knowingthat angles2 and 3 are also supplementarymeansthat , sincethe sum of 100º and 80º is 180º.If angle3 measu ...

The relationshipsbetweendifferentanglesare usedin almosteverytype of geometricapplication.Make sure that theseconceptsare retain ...

Identifyeachof the following(theremay be morethan one correctanswerfor someof thesequestions). a. Nameone pair of verticalangl ...

Classifytrianglesas scalene,isosceles,or equilateral. Introduction By this point,you shouldbe able to readilyidentifymanydiffe ...

To solvethis problem,you mustcarefullycountthe trianglesof differentsize. Beginwith the smallesttriangles. Thereare 16 smalltria ...

If a trianglehas one obtuseangle,it is calledanobtusetriangle. If all of the anglesare acute,it is calledanacutetriangle. The la ...

The trianglein the diagramhas two acuteangles.But, so is an obtuseangle. If the anglemeasurewerenot givenyou couldcheckthis usin ...

To classifythe triangleby side lengths,you haveto examinethe relationshipsbetweenthe sides.Two of the sidesin this triangleare c ...

Sketchan equiangulartriangle.Whatmustbe true aboutthe sides? Sketchan obtuseisoscelestriangle. True or false:A right triangleca ...

True. False. 9 is falsesincethe threesideswouldnot makea triangle.To makethe statementtrue, it shouldsay: “An obtusetriang ...

The easiestway to identifya polygonis to look for a closedfigurewith no curvedsides.If thereis any cur- vaturein a shape,it cann ...

A convexpolygondoesnot sharethis property. Any time you connectthe verticesof a convexpolygon,the segmentsbetweennonadjacentvert ...

Therefore,the polygonis concave. C. One of the segmentsgoesthroughthe exterior. Thus,the polygonis concave. ClassifyingPolygons ...

Octagon 8 Nonagon 9 Decagon 10 Undecagonor hen- 11 decagon (there is somedebate!) Dodecagon 12 n - gon n (where ) Practiceusingt ...

Namethe threepolygonsbelowby their numberof sides. A. This shapehas sevensides,so it is a heptagon. B. This shapehas five sides, ...