Monday Oct 12, 2015washburn.mpls.k12.mn.us/uploads/monday_oct_13_geom_slides_fro… · I will be...

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


Warm-up10/12/15

1. Isitpossibletomakeatrianglewiththesesidelengths?Ifnotexplainwhy.

2.Describetwotypesofproblemsyouwouldexpecttoseeonthetesttomorrow.

3.Nametwothingsyoucandotonightthatwillhelpyoubebetterpreparedfortomorrow'stest.


LP -LinearPairVA -VerticalAnglesCA -CorrespondingAnglesAIA -AlternateInteriorAnglesAEA -AlternateExteriorAngles

Sum -TriangleSumIsos -BaseAnglesofIsoscelesTriangleExt -ExteriorAngles


1. Isitpossibletomakeatrianglewiththesesidelengths?Ifnotexplainwhy.

10.5cm 8.5cm

19cm


2.Describetwotypesofproblemsyouwouldexpecttoseeonthetesttomorrow.

-TriangleSumProblems

-IsoscelesTriangleProblems

-ExteriorAngleProblems

-TriangleInequalityProblems

-Side-AngleInequalityProblems


1.


1

180 -22158 2 79

vertexangle


2

baseangles

180 -63 -63 54


1-4IfpossiblewriteyesIfnotpossiblewritenoanddrawasketchdemonstratingwhyitisnotpossible

1.3cm,4cm,5cm

2.4m,5m,9m

3.5ft,6ft,12ft

4.3.5cm,4.5cm,7cm

1-4


Writetheunknownmeasuresinorderfromgreatest to least.

5

a350

700

bc



9


Homework


LP -LinearPairVA -VerticalAnglesCA -CorrespondingAnglesAIA -AlternateInteriorAnglesAEA -AlternateExteriorAngles

Sum -TriangleSumIsos -BaseAnglesofIsoscelesTriangleExt -ExteriorAngles



statement reason



Baseanglesare

congruent

540720 TriangleSum

x=1080LinearPair


Baseanglesare

congruent

540

x=1080ExteriorAngle


670

LinearPair

180-67113

113256.50

56.50

56.5056.50 BaseAngles

ofanIsoscelesTrianglearecongruent


a = 390 Linear Pair

390


390

390

180-46-45 89

b = 890 Triangle Sum

890


390

890 390

890

620 62 +45 107

180-107 73

1070

7301070

LP

SUM

LP


390

890 390

890

620

1070

7301070

620 62+77139

180-139 41

410 1390 LP Triangle

Sum

LP

1390


390

890 390

890

620

1070

7301070

620 410 1390 410

930 930

390

VA

Triangle Sum

VA

VA

1390


390

890 390

890

620

1070

7301070

620 410 1390 410

930 930

390

1390

93+39132

180-132 48

480

480

Triangle Sum


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



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


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


390

bca

380

ade = bcade

Combining the two answers together, you get bcade


LP

LP

CA


AIA

LP


36+82118

180-118 62Linear Angles


VATriangle Sum


TriangleSum

180-100 80 2 40

IsoscelesTriangle



-OrganizeyourNOTES-puttheminorder

-GoovertheEXAMPLESinyournotes

-LookatHOMEWORK-#9,#10,and#11

-LookattheREVIEWontheWEBPAGE



-OrganizeyourNOTES-puttheminorder

-GoovertheEXAMPLESinyournotes

-LookatHOMEWORK-#9,#10,and#11

-LookattheREVIEWontheWEBPAGE


Notes you needfor this test


Triangle Sum




1.


Isosceles Triangle


congruent

base angles base angles

vertex anglevertex angle

base anglesvertex angle


Exterior Angle


sumofthemeasuresoftheremote interiorangles


1060

440 x


x + 63 = 122 -63 -63 x = 59



twosides greaterthan

thirdside

Triangle Inequality



oneofthesidesislargertheangleoppositethatsideislarger

greatesttoleast

Side - Angle Inequality

greatesttoleast


Homework

Homework Highlights

HW #9

HW #10

HW #11


HW#9p201/2-9,16-22dueFRIOct3


2

180 -52 -55 73


4


8


Homework#10p206/1-8,10,11,19

790 540 107.50

44035cm

7603.5cm

72010cm


1

180 -22158 2 79

vertexangle


2

baseangles

180 -63 -63 54


3180 -35145 272.5

72.5

72.5vertexangle

LinearPair


#11p216/1-16,19-22dueTuesdayOct7


1-4IfpossiblewriteyesIfnotpossiblewritenoanddrawasketchdemonstratingwhyitisnotpossible

1.3cm,4cm,5cm

2.4m,5m,9m

3.5ft,6ft,12ft

4.3.5cm,4.5cm,7cm

1-4



5

a350

700

bc



9


Writetheunknownmeasuresinorderfromgreatest to least. 10

w

xz

v


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