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

PartE

1. 2. 3.

4. 5.

6. 7.

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