Embed Size (px)
Citation preview
Objective:ExploreTriangleCongruence
Remember:RigidMotionsandCongruenceBasedonwhatwehavelearnedsofar,whatdoyouneedtoknowinordertobeabletosaythatthesetwotrianglesarecongruent?
A
B C
D
E F
Remember:Whatdoescongruentmean?
Twofiguresarecongruentiftheyhaveallofthesamesidelengthsandanglemeasures.
Remember:Whataretickmarks?ArcMarks?
SticksActivity!
Usingoneredstick,onepurplestick,andoneyellowstick,snaptogetheratriangle.
NowtrytomakeanothertrianglewiththesamethreecoloredsticksthatisNOTcongruenttothefirsttriangle
ReflectionQuestionsDoyouthinkitispossibletomaketwotrianglesthathavethesamesidelengthsbutarenotcongruent?Whyorwhynot?
Completethefollowingconjecturebasedonyourresults:Twotrianglesarecongruentif__________________________
Whataboutquadrilaterals?
SSS(Side-Side-Side)Congruence
ExampleofSSSCongruence
Whichrigidmotion???
SticksActivityPartTwo!
Usingoneredstickandoneyellowstick-snapthemtogetherwiththeprotractorat60degrees.Withoutchangingtheangleatwhichtheredstickandtheyellowstickaretoeachother,fillinthemissingsidelengthwithanothercolorstick.Isthereonlyonepossiblewaytodothis?
ReflectionQuestionsSupposeyouknowtwosidelengthsofatriangleandthemeasureoftheanglebetweenthesesides.Canthelengthofthethirdsidebeanymeasure?Explain.
Completethefollowingconjecturebasedonyourresults:Twotrianglesarecongruentif________________________________
An included angle is an angle formed by two adjacent sides of a polygon.ÐB is the included angle between sides AB and BC.
SASCongruence
The letters SAS are written in that order because the congruent angles must be between pairs of congruent corresponding sides.
Caution
ExampleofSASCongruence
Whichrigidmotion???
Arethetrianglescongruent?Explainyourreasoning.
HomeworkSSSpg.1033(10-14)SASpg.1020(2-7)
