Download pdf - Geometry Summer Assignment 2016 - Miami-Dade …teachers.dadeschools.net/sdaniel/Geometry Summer...Geometry Summer Assignment Parts A‐E are required for all students. Parts F‐H

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


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.


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)


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


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


G.ThePythagoreanTheorem.

ThePythagoreanTheorem: .

UsethePythagoreantheoremtofindthemissingside.Leaveyouranswersinsimplestradicalform.

1. 2.

3. 4.

5. 6.


H.BasicFigures.

Foreachgeometricsolidbelow,identifythefollowing:nameofsolid,numberofvertices,numberofedges,numberoffaces,numberofbases,andtheshapeofthebase.

1. 2.

3. 4.

5. 6.

7. 8.


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.


PartE

1. 2. 3.

4. 5.

6. 7.


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:


Numberofvertices:

Numberofedges:

Numberoffaces:

Numberofbases:

Shapeofbase:

6.Nameofsolid:

Numberofvertices:

Numberofedges:

Numberoffaces:

Numberofbases:


Numberofvertices:

Numberofedges:

Numberoffaces:

Numberofbases:

Shapeofbase:

8.Nameofsolid:

Numberofvertices:

Numberofedges:

Numberoffaces:

Numberofbases:

Shapeofbase:


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