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Iwillbeafterschoolformake-uponMon,ThursQUIZFridayonCh12-LT12A,LT12B,andWordProbs
Takeoutyournotebookfortoday'swarm-up!MondayOct12,2015
IamavailablefortestmakeupsthisweekonThursdayafterschool.HW#8wsMidpoints,AnglesandAlgebraisdueTODAYDoyouneedtoretake/re-learn/makeupanything?IwillbeafterschoolTODAY.
HW#12wsUsingDeductiveReasoningisdueTUES
LT2.2Icansolveproblemsandjustifymyresultsusingpropertiesofequilateralandisoscelestriangles.
LT2.3Icansolveproblemsandjustifymyresultsusingpropertiesofcongruenttriangles.
LT2.1Icansolveproblemsandjustifymyresultsusingpropertiesoftriangles.
WewillhaveaTESTonTUESQuiz3A-TriangleSum,IsosTrianglesQuiz3B-Exteriorangles,TriInequality,Side-AngleIneq
Didyougetyournotebookcheckedlastweek?
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Warm-up
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Warm-up10/12/15
1. Isitpossibletomakeatrianglewiththesesidelengths?Ifnotexplainwhy.
2.Describetwotypesofproblemsyouwouldexpecttoseeonthetesttomorrow.
3.Nametwothingsyoucandotonightthatwillhelpyoubebetterpreparedfortomorrow'stest.
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
LP -LinearPairVA -VerticalAnglesCA -CorrespondingAnglesAIA -AlternateInteriorAnglesAEA -AlternateExteriorAngles
Sum -TriangleSumIsos -BaseAnglesofIsoscelesTriangleExt -ExteriorAngles
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
1. Isitpossibletomakeatrianglewiththesesidelengths?Ifnotexplainwhy.
10.5cm 8.5cm
19cm
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
2.Describetwotypesofproblemsyouwouldexpecttoseeonthetesttomorrow.
-TriangleSumProblems
-IsoscelesTriangleProblems
-ExteriorAngleProblems
-TriangleInequalityProblems
-Side-AngleInequalityProblems
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
1.
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
1
180 -22158 2 79
vertexangle
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
2
baseangles
180 -63 -63 54
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
1-4IfpossiblewriteyesIfnotpossiblewritenoanddrawasketchdemonstratingwhyitisnotpossible
1.3cm,4cm,5cm
2.4m,5m,9m
3.5ft,6ft,12ft
4.3.5cm,4.5cm,7cm
1-4
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Writetheunknownmeasuresinorderfromgreatest to least.
5
a350
700
bc
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Writetheunknownmeasuresinorderfromgreatest to least.
9
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Homework
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
LP -LinearPairVA -VerticalAnglesCA -CorrespondingAnglesAIA -AlternateInteriorAnglesAEA -AlternateExteriorAngles
Sum -TriangleSumIsos -BaseAnglesofIsoscelesTriangleExt -ExteriorAngles
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
statement reason
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Baseanglesare
congruent
540720 TriangleSum
x=1080LinearPair
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Baseanglesare
congruent
540
x=1080ExteriorAngle
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
670
LinearPair
180-67113
113256.50
56.50
56.5056.50 BaseAngles
ofanIsoscelesTrianglearecongruent
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
a = 390 Linear Pair
390
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
390
390
180-46-45 89
b = 890 Triangle Sum
890
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
390
890 390
890
620 62 +45 107
180-107 73
1070
7301070
LP
SUM
LP
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
390
890 390
890
620
1070
7301070
620 62+77139
180-139 41
410 1390 LP Triangle
Sum
LP
1390
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
390
890 390
890
620
1070
7301070
620 410 1390 410
930 930
390
VA
Triangle Sum
VA
VA
1390
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
390
890 390
890
620
1070
7301070
620 410 1390 410
930 930
390
1390
93+39132
180-132 48
480
480
Triangle Sum
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
4x + 14 5x - 311x + 2920x + 40 = 180
Triangle Sum
-40 -4020x = 14020 20
x = 7
7
5(7) - 3 = 320
320
11(7) + 29 = 1060
1060
4(7)+14 = 420
420
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
390
bca
Using the triangle on the left, ordering the sides from greatest to least, you get b c a
Use the trianglesum to get this
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
390
bcaUse the trianglesum to get this
380
Using the triangle on the right, ordering the sides from greatest to least, you get a d e
ade
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
390
bca
380
ade = bcade
Combining the two answers together, you get bcade
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
LP
LP
CA
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
AIA
LP
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
36+82118
180-118 62Linear Angles
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
VATriangle Sum
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
TriangleSum
180-100 80 2 40
IsoscelesTriangle
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
3.Nametwothingsyoucandotonightthatwillhelpyoubebetterpreparedfortomorrow'stest.
-OrganizeyourNOTES-puttheminorder
-GoovertheEXAMPLESinyournotes
-LookatHOMEWORK-#9,#10,and#11
-LookattheREVIEWontheWEBPAGE
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
3.Nametwothingsyoucandotonightthatwillhelpyoubebetterpreparedfortomorrow'stest.
-OrganizeyourNOTES-puttheminorder
-GoovertheEXAMPLESinyournotes
-LookatHOMEWORK-#9,#10,and#11
-LookattheREVIEWontheWEBPAGE
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Notes you needfor this test
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Triangle Sum
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
1.
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Isosceles Triangle
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
congruent
base angles base angles
vertex anglevertex angle
base anglesvertex angle
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Exterior Angle
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
sumofthemeasuresoftheremote interiorangles
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
1060
440 x
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
x + 63 = 122 -63 -63 x = 59
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
twosides greaterthan
thirdside
Triangle Inequality
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
oneofthesidesislargertheangleoppositethatsideislarger
greatesttoleast
Side - Angle Inequality
greatesttoleast
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Homework
Homework Highlights
HW #9
HW #10
HW #11
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
HW#9p201/2-9,16-22dueFRIOct3
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
2
180 -52 -55 73
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
4
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
8
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Homework#10p206/1-8,10,11,19
790 540 107.50
44035cm
7603.5cm
72010cm
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
1
180 -22158 2 79
vertexangle
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
2
baseangles
180 -63 -63 54
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
3180 -35145 272.5
72.5
72.5vertexangle
LinearPair
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
#11p216/1-16,19-22dueTuesdayOct7
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
1-4IfpossiblewriteyesIfnotpossiblewritenoanddrawasketchdemonstratingwhyitisnotpossible
1.3cm,4cm,5cm
2.4m,5m,9m
3.5ft,6ft,12ft
4.3.5cm,4.5cm,7cm
1-4
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Writetheunknownmeasuresinorderfromgreatest to least.
5
a350
700
bc
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Writetheunknownmeasuresinorderfromgreatest to least.
9
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21
Writetheunknownmeasuresinorderfromgreatest to least. 10
w
xz
v
Richard Sudo Monday, October 12, 2015 5:01:01 PM CT 00:19:e3:4a:d2:21