CK12 - Geometry

Whatis the scalefactorfrom Triangle1 to Triangle2? Why do wenotstudyan ASA similaritypostulate? Use the chartbelowfor exercise ...

Thereis no need.With the and partsof we havetriangleswith two congruentangles.The trianglesare similarby AA. Yes No No ...

One side is dividedin the ratio , the otherside in the ratio Bothof theseratiosare equivalent to and to eachother. We see that a ...

Differentstudentscan start with differenttriangles.Theycan drawdifferentlinesparallelto. But in eachcasethe two ratios, and , ar ...

Additionpropertyof equality Can you see why we wrotethe proportionthis way, ratherthan as , whichis also a true proportion? ...

Lookat the diagrambelow. We can makea corollaryto the previoustheorem. are labelsfor lines are lengthsof segments are parallelbu ...

lines are all parallel. Now we havelots of proportionalsegments. For example: , , , , and manymore. This corollaryextendsto more ...

HistoryNote In ancienttimes,mathematicianswereinterestedin bisectingand trisectinganglesand segments.Bisection was no problem.Th ...

in on, or zoomout on. The idea is very similarto blowingup or shrinkinga photobeforeprintingit. LessonExercises Use the diagramb ...

Whatis the valueof? Lines , , and are parallel,and. Whatis the valueof? Whatis the valueof? Explainhow to dividea segmentinto ...

5. 6. 7. 8. Placethe originalsegmentso that one endpointis on the top horizontalline. Slantthe segmentso that the otherendpoint ...

The centerof dilationis , and the scalefactoris. Point is unitsfrom. To find the imageof point , we go unitsfrom along to locate ...

is a rectangle.Whatare the length,width,perimeter, and area of? Length Width Perimeter Area length× width The centerof a dilatio ...

CoordinateNotationfor Dilations We can workwith dilationson a coordinategrid. To simplifyour work,we’ll studydilationsthat havet ...

Generalization: Points , (the imageof ), and the originare collinearfor any point in a dilation. You can provethe generalization ...

Whatdoesthis say abouta segmentand its imagein a dilation?It says that the imageof a segmentis another segment timesthe lengthof ...

Use 2 for the scalefactor. Find the imageof the otherpoint. Repeat,but use a differentvaluefor the scalefactor. Whatseemsto be ...

Image of Answer GivenPoint Center ScaleFactor GivenPoint 1.? 2.? 3.? 4.? 5.? 6.? 7.? or 8.? or 9.? Midpoint of 10.? Midpoint of ...

A dilationhas its centerat the originand a scalefactorof. Let be the point. If is the imageof , and is the imageof , whatare t ...

Extendthe patternin a self-similarfigure. Introduction In this lessonyou’lllearnaboutpatternscalledfractalsthat haveself-simil ...