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Take out your notebook for today's warm - up! Thursday Feb 6, 2014 EXT#1 - ws Solving Syst w Eliminaton - due MON HW #5 p 418 / 1 - 18 is due on FRIDAY QUIZ !!! on Properties of Quadrilaterals, & Area, proofs, on Tuesday ! Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

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Page 1: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Iwillbeafterschool Wedformake-up testing.(Ihavea30-minmeetingscheduledat3:05today,Tues)

Takeoutyournotebookfortoday'swarm-up!ThursdayFeb6,2014

#1 p 465 / 1 -16 is due TODAY !!

LT1.1B-Icanwritegooddefinitionsforbasicgeometricfiguresandprovidecounterexamplestoprovestatementsfalse.

LT1.2B-Icanuseverticalangleandlinearpairrelationshipstosetupandsolvealgebraicequationstofindmissingmeasures

LT1.2C-Icanapplypropertiesofcorresponding,exterior,andinterioranglesformedbyparallellinestosetupandsolvealgebraicequations.

LT1.2Band1.2C-Icanapplypropertiesofanglerelationships-LP,VA,CA,AIA,andAEA

LT1.2Band1.2C-Icanapplypropertiesofanglerelationships-LP,VA,CA,AIA,andAEA

WewillhaveaQUIZ+DISTRICTBENCHMARK TESTforUNIT3forFINALSonWed(Per1,3)andThursPer4

EXT#1-wsSolvingSystwEliminaton-dueMONHW#5p418/1-18isdueonFRIDAY

Didyoumiss theQUIZTHURSDAY??Afterschooltodayisthelastdaytomakeitupbeforebreak

The2ndquarterendsonThursdayJan16.Anythingthatneedstobemadeupshouldbetakencareofbythen.

QUIZ!!!onPropertiesofQuadrilaterals,&Area,proofs,onTuesday!

DidyougetyourNOTEBOOKCHECKed thisweek?(going backuntil Nov11orso...)

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 2: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

LearningTargets

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 3: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

LT4.2:Icandescribe,compareandcontrastpropertiesofquadrilaterals.

LT4.3:Icansolveproblemsandjustifymyresultsusingpropertiesofcongruentandsimilarquadrilaterals.

LT4.1:Icancomposeanddecomposequadrilaterals.

LT4.4:Icanusecoordinategeometrytomeasureandclassifyquadrilaterals

LT2.6I can apply the properties of special right triangles to solve problems and logically justify my results.LT2.7I can use coordinate geometry to translate, reflect and rotate triangles and analyze the result.

LT2.5I can apply the Pythagorean Theorem and its converse to solve problems and logically justify my results.

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 4: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

8PointGradingScale

A+8/8=100%

A7/8=87.5%

B6/8=75%

C5/8=62.5%

D4.3/8=53.8% studentsshouldmakeupthepartsofthetesttheyscoredpoorlyonormissedentirely__________afterschool.

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 5: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Warm-up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 6: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Warm-up2/6/14

1.

24cm

10cm

h

Iftheareaofthistrapezoidis127.5cm2,whatisitsheight?

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 7: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Warm-up2/6/14

1.

24cm

10cm

h

Iftheareaofthistrapezoidis127.5cm2,whatisitsheight?

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 8: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Homework

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 9: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

#5p418/1-18

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 10: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 11: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 12: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 13: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 14: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 15: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 16: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 17: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 18: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 19: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 20: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 21: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 22: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 23: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 24: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 25: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 26: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 27: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 28: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 29: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 30: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 31: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 32: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 33: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

StepsfortheEliminationMethod:1.Checkthatthetwoequationshavevariablesthatare“opposites”2.Usemultiplicationonbothsidesofoneoftheequationstocreateoppositevaluesifnecessary.3.Addtheequationstogethertoeliminateoneofthevariables4.Writethenewequationwithonevariableandsolveit.5.Substitutethesolutionbackintooneoftheoriginalequationstofindthevalueoftheothervariable.6.Checkyoursolutionusingtheoriginalequations.

x+3y=162x-y=4

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 34: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Classwork

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

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9.43cm

6.08cm

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 36: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 37: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 38: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 39: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 40: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 41: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 42: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Notes

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 43: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 44: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Aparallelogramcanbecutupandchangedintoarectangleusingaperpendicularline.Theperpendiculardistanceistheheight

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

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A=bh

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

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Twotrianglesputtogethermakeaparallelogram.Theareaofthetrianglewillbehalfofthatparallelogram.

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 47: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 48: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Twotrapezoidstogethermakeaparallelogramwithabaseequaltothesumofthebasesofthetrapezoid.Theareaofthetrapezoidishalftheareaofthisextra-longparallelogram.

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 49: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 50: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Akitecanbesurroundedbyarectanglethathasalengthandwidthequaltothediagonalsofthekite.Thekiteishalftheareaofthisrectangle.

Akitecanbecutupalongthediagonalsandmadeintoarectangle.Thelengthoftherectangleisthesameasonediagonalandthewidthishalfoftheotherdiagonal.

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21

Page 51: Thursday Feb 6, 2014washburn.mpls.k12.mn.us/uploads/thursday_feb_6_geom_slides_fro… · A 7 / 8 = 87.5% B 6 / 8 = 75 % C 5 / 8 = 62.5 % D 4.3 / 8 = 53.8 % students should make up

Richard Sudo Friday, February 7, 2014 3:42:03 PM CT 00:19:e3:4a:d2:21