CK12 - Geometry

Diameter= ____ Sphere:surfacearea is 179 in 2 . Radius= ___ Tennisballswith a diameterof 3.5 inchesare sold in cansof three.T ...

SimilarSolids LearningObjectives Find the volumesof solidswith basesof equalareas. Introduction You’velearnedformulasfor calcu ...

It shouldbe clearfrom the diagramthat the total volumeof the disksis equalto the volumeof the original cylinder. Now start with ...

The volumesof two objectsare equalif the areasof theircorrespondingcross-sectionsare in all cases equal.Two cross-sectionscorres ...

A rectangularpyramidand a circularconehavethe sameheight,and basearea.Are their volumescongru- ent? Yes. Eventhoughthe two figur ...

Sincethe threeratiosare equal,you can concludethat the figuresare similar. Example 2 ConeA has height and radius . ConeB has hei ...

The ratio betweenthe areasof the two figuresis the squareof the ratio of the linearmeasurement: This relationshipholdsfor solidf ...

The ratio of the volumesof two similarfiguresis equalto thecubeof the ratio betweenthe corresponding linearsides. Example 5 Find ...

Usingthe heights,we find a scalingfactorof: . You can use a scalingfactorto makea model. Example 6 Dougis makinga modelof the St ...

ft in height, inchesin width,and inchesin depth.The real buildingwill be feet tall. How wide will the real buildingbe? First fin ...

Whatis the similarityratio of cylinderA to cylinderB? Whatis the ratio of surfacearea of cylinderA to cylinderB? Whatis the rat ...

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12. Transformations............................................................................................................. ...

Sincethe endpointsof and movedthe samedistancehorizontallyand vertically, both segments havethe samelength. Translationis an Iso ...

To find the imageof , we can applythe sametransformationvectorto point. The arrowheadof the vectoris at. The vectorin example2 i ...

• • This lessonwas abouttwo-dimensionalspacerepresentedby a coordinategrid. But we knowthereare morethan two dimensions.The real ...

Point is movedby the translationvector. Fill in the blanks. (,). Answers 1. , = The trianglemovesup units. 3. 4. 5. The fig ...

Matriceshavemanyapplicationsbeyondgeometry, but in this lessonwe’ll see how to use matricesto perform a translationin a coordina ...

A matrixcan representthe coordinatesof the verticesof a polygon. is is is Eachrow representsthe coordinatesof one of the vertice ...

matricesrepresentthe numbersof eachmodelavailablein eachwarehouseby region. EasternRegion WesternRegion Model Model Warehouse Wa ...