CK12 - Geometry
[Diff: 2] [Diff: 2] [Diff: 2] Proofof ConsecutiveInteriorAngleTheorem.Given , prove and are supplementary. Statement Reason 1. ...
NOTtrue.Thereare manyexamplesof congruentanglesthat are not verticalangles—forexamplethe cornersof a square. Sometimesthe conver ...
(Source:Derivedfromhttp://commons.wikimedia.org/wiki/File:Amarillo-Texas-Water-Tower-Dec2005.jpg, License:CreativeCommonsAttribu ...
Given and are crossedby and. Prove Statement Reason Given and are crossedby and . VerticalAnglesTheorem TransitivePropert ...
Since\angle{1}\cong\angle{2}as can applythe converseof the AlternateInteriorAnglesTheoremto concludethat. Noticein this examplet ...
Angle is equalto This angleis widerthan the otheralternateexteriorangle,which measures so the alternateexterioranglesare not con ...
Lookat this diagramcarefullyto establishthe relationshipbetweenlines and and lines and. Startingwith line , the angleshownmeasur ...
Are lines 1 and 2 parallelin the followingdiagram?Why or why not? Are lines and parallelin the diagrambelow?Why or why not? ...
Are lines and parallelin the followingdiagram?Justifyyour answer. Are lines and parallelin the diagrambelow?Justifyyour answer. ...
For exercises6-13,use the followingdiagram.Line and. Find eachangleand give a justifi- cationfor eachof your answers. 6. ____. ...
7. ____. 8. ____. 9. ____. 10. ____. 11. ____. 12. ____. 13. ____. Answers Yes. If alternateinterioranglesare congruent,then th ...
Plot a line on a coordinateplaneusingdifferentmethods. Introduction You may recallfrom algebrathat you spenta lot of time grap ...
Theseare the two pointsin question.You can see that the line rises4 unitsas it travels2 unitsto the right. So, the rise is 4 uni ...
Thereare othertypesof lines with their own distinctslopes.Performthesecalculationscarefullyto identify their slopes. Example 3 W ...
The line in this exampleis verticaland we foundthat the numericalvalueof the slopeisundefined. In review, if you scana graphof a ...
A. B. C. D. Sinceyou are lookingfor the slopeof a parallelline, it will havethe sameslopeas the line in the diagram. First ident ...
Anotherway to say this theoremis, if the slopesof two lines multiplyto then the two lines are perpen- dicular. The oppositerecip ...
The slopeof the line in the diagramis. Nowfind the oppositereciprocalof that value.First swapthe numeratorand denominatorin the ...
Drawa segmentconnectingthesetwo pointsand extendthat segmentin both directions,addingarrowsto both ends.This showsthe only line ...
Now you haveplotteda secondpointon the line at You can connectthesetwo points,extendthe segment,and add arrowsto showthe line th ...
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