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MourningSr.High
GeometrySummer
Assignment
PartsA‐Earerequiredforallstudents.PartsF‐HarerequiredforGeometryHonorsstudentsonly.
Directions:
1.Showallofyourwork.
2.Writeyourfinalanswersontheanswersheetprovidedattheendoftheassignment.
3.Ifyouneedhelp,therearelinksprovidedonthelastpagewithextrahelpresources.
Thisassignmentwillbecollectedforagradethefirstweekofschool.
Geometry2016–SummerAssignment–Alonzo&TracyMourningSeniorHigh
A.TheCoordinatePlane
Usethisgraphtoanswerthefollowingquestions.
Namethecoordinatesofeachpoint.
1.M 6.T
2.N 7.U
3.K 8.V
4.R 9.W
5.S 10.Q
11.Nameallthepointsshownthatlieonthex‐axis.
12.Nameallthepointsshownthatlieonthey‐axis.
13.Whatisthex‐coordinateofeverypointthatliesonaverticallinethroughP?
14.Identifywhichofthefollowingpoint(s)lieonahorizontallinethroughW.
(‐2,1),(2,3),(1,‐3),(‐2,0),(0,‐3),(2,0)
15.Namethetwopointsthatbothhaveay‐coordinatevalueof3.
B.SolvingEquationsandInequalities
Solveeachequationorinequality.Showallsteps.Simplifyandleaveanswersasfractions.
1.2 5 13 2.12 2 2 5 3.4 5 5 40 180
4.2 4 4 1 5.2 5 3 2 6.180 3 90
Geometry2016–SummerAssignment–Alonzo&TracyMourningSeniorHigh
7.180 2 90 8.6 3 6 5 4 2
9.10 8 12 2 4 10.– 3 1 7 3 5 4
C.SolvingLiteralEquations
Solveeachequationforthegivenvariable.
1.Perimeterofrectangle: 2 2 .Solveforl.
2.VolumeofaPrism: .Solveforw.
3.SurfaceAreaofaSphere: 4 .Solveforr.
4.LateralAreaofaCylinder: 2 .Solveforh.
5.AreaofaRegularPolygon: .Solvefora.
6.VolumeofaCylinder: .Solveforh.
Geometry2016–SummerAssignment–Alonzo&TracyMourningSeniorHigh
7.AreaofaTriangle: .Solveforh.
8.CircumferenceofaCircle: 2 .Solveforr.
9.VolumeofaCone: .Solveforr.
10.Areaofatrapezoid: .Solvefor .
D.TheDistanceFormulaandSlope
InordertobesuccessfulinGeometryclassnextyear,itiscrucialthatyouunderstandhowtouseboththedistanceandslopeformulas.MemorizingtheseformulasisaMUST!
TheDistanceFormula:
FormulaforSlope:
Findthedistancebetweeneachpairofpoints.Roundyouranswertothenearesttenth,ifnecessary.
1.(‐2,3),(‐7,‐7) 2.(2,‐9),(‐1,4) 3.(5,9),(‐7,‐7)
4.(8,5),(‐1,3) 5.(‐10,‐7),(‐8,1)
Geometry2016–SummerAssignment–Alonzo&TracyMourningSeniorHigh
Findtheslopeofthelinethrougheachpairofpoints.
6.(‐2,3),(‐7,‐7) 7.(2,‐9),(‐1,4) 8.(5,9),(‐7,‐7)
9.(8,5),(‐1,3) 10.(‐10,‐7),(‐8,1)
E.Graphing.
Slope‐InterceptForm:
Point‐SlopeForm:
Usetheslopeformulatofindtheslopeofthelinecontainingeachsetofpoints.Writetheequationofeachlineinbothslope‐interceptandpoint‐slopeform.
1.(3,6),(‐6,0) 2.(‐7,2),(‐1,‐4) 3.(5,1),(5,4)
Grapheachoftheequationsonthegraphprovided.
4. 10 2 6 5. 5 4
Geometry2016–SummerAssignment–Alonzo&TracyMourningSeniorHigh
Grapheachsystemoflinearequationsonthegraphprovided.
6. 1 2 7. 2 7
5 4 3
F.SimplifyingRadicalExpressions
Radicalsareinthesimplestformwhentherearenoperfectsquarefactorsinsidetheradical.
Simplifythefollowingproblemscompletelyusingperfectsquaresorfactortrees.DoNOTuseacalculatortofindthedecimalapproximationsforthesesquareroots.ShowALLwork.
1.√36 2.√27 3.√400 4.√80
5. √96. 7.2√728. √5
Geometry2016–SummerAssignment–Alonzo&TracyMourningSeniorHigh
G.ThePythagoreanTheorem.
ThePythagoreanTheorem: .
UsethePythagoreantheoremtofindthemissingside.Leaveyouranswersinsimplestradicalform.
1. 2.
3. 4.
5. 6.
Geometry2016–SummerAssignment–Alonzo&TracyMourningSeniorHigh
H.BasicFigures.
Foreachgeometricsolidbelow,identifythefollowing:nameofsolid,numberofvertices,numberofedges,numberoffaces,numberofbases,andtheshapeofthebase.
1. 2.
3. 4.
5. 6.
7. 8.
Geometry2016–SummerAssignment–Alonzo&TracyMourningSeniorHigh
Name:_____________________________________ AnswerSheet
PartA
1. 2. 3.
4. 5. 6.
7. 8. 9.
10. 11. 12.
13. 14. 15.
PartB
1. 2. 3. 4. 5.
6. 7. 8. 9. 10.
PartC
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
PartD
1. 2. 3. 4. 5.
6. 7. 8. 9. 10.
Geometry2016–SummerAssignment–Alonzo&TracyMourningSeniorHigh
PartF
1. 2. 3. 4.
5. 6. 7. 8.
PartG
1. 2. 3.
4. 5. 6.
PartH1.Nameofsolid:
Numberofvertices:
Numberofedges:
Numberoffaces:
Numberofbases:
Shapeofbase:
2.Nameofsolid:
Numberofvertices:
Numberofedges:
Numberoffaces:
Numberofbases:
Shapeofbase:3.Nameofsolid:
Numberofvertices:
Numberofedges:
Numberoffaces:
Numberofbases:
Shapeofbase:
4.Nameofsolid:
Numberofvertices:
Numberofedges:
Numberoffaces:
Numberofbases:
Shapeofbase:5.Nameofsolid:
Numberofvertices:
Numberofedges:
Numberoffaces:
Numberofbases:
Shapeofbase:
6.Nameofsolid:
Numberofvertices:
Numberofedges:
Numberoffaces:
Numberofbases:
Shapeofbase:7.Nameofsolid:
Numberofvertices:
Numberofedges:
Numberoffaces:
Numberofbases:
Shapeofbase:
8.Nameofsolid:
Numberofvertices:
Numberofedges:
Numberoffaces:
Numberofbases:
Shapeofbase:
Geometry2016–SummerAssignment–Alonzo&TracyMourningSeniorHigh
Resources:
TheCoordinatePlane–
https://www.khanacademy.org/math/basic‐geo/basic‐geo‐coordinate‐plane
http://www.mathopenref.com/coordplane.html
SolvingLinearEquationsandInequalities‐
https://www.khanacademy.org/math/algebra/solving‐linear‐equations‐and‐inequalities
SolvingLiteralEquations‐
http://www.purplemath.com/modules/solvelit.htm
TheDistanceFormula/PythagoreanTheorem‐
https://www.khanacademy.org/math/basic‐geo/basic‐geo‐pythagorean‐topic
GraphingLinesandSlope–
https://www.khanacademy.org/math/algebra‐basics/core‐algebra‐graphing‐lines‐slope
SimplifyingRadicalExpressions‐
https://www.khanacademy.org/math/pre‐algebra/exponents‐radicals/radical‐radicals
BasicFigures–
http://www.mathopenref.com/tocs/solidtoc.html