GeometryChapter1Review Name 1. Usethegiveninformationtofind𝑥and𝐴𝐵givenline𝑚isabisector

of𝐴𝐵.𝑥 = 𝐴𝐵 =

2. Usethediagramattherighttoanswereachquestion.a. Namealinearpairofangles. b. Nameananglesupplementaryto∠𝐴𝐵𝐶. c. Nameapairofverticalangles. d. If𝑚∠𝐾𝐵𝑅 = 122°,then𝑚∠𝑅𝐵𝐴 =

3. Makeasketchofaregularoctagon.Useappropriatemarkingstoshowitisregular.4. Determineifeachofthefollowingpolygonsareequilateral,equiangular,regular,ornoneofthe

above.Classifyeachbythenumberofsides.a. b. c. d.

5. Usethegraphtoanswereachquestion.

a. WhatisthedistancebetweenHandY?b. Whatisthemidpointof𝐻𝑌?c. IfDisthemidpointof𝐻𝐾,whatarethecoordinatesofK?

6. Giventhepoints𝐺 = 3, 7 and𝑀 = (5,−9)a. Findthecoordinatesofthemidpointof𝐺𝑀. b. Find𝐺𝑀.c. If𝑀isthemidpointof𝐺𝑇findthecoordinatesof𝑇.

7. PointsOandRliebetweenCandE.PointOisbetweenCandR.Given𝐶𝐸 = 12𝑥 + 4,𝑂𝑅 = 4𝑥 + 1,𝐸𝑅 = 6𝑥 − 7,𝑂𝐶 = 14a. Drawandlabeladiagramwiththegiveninformation.b. Solvefor𝑥. c. Determine𝑂𝐸.d. Determine𝐶𝐸. e. IspointOthemidpointof𝐶𝐸?Explain.

8. Usethediagramattherighttoanswerthefollowing.a. Namethreecollinearpoints.

b. Givetwoothernamesfor𝑊𝑄.

c. GiveanothernameforplaneV.

d. NamealineinplaneV.

d. NamealinenotinplaneV.

e. Nametheintersectionoftwodrawninlines.

f. NameapointthatisnoncoplanarwithR,S,andT.

g. Nametwooppositerays.

9. DrawplaneA.DrawthreenoncollinearpointsJ,K,andLinplaneA.Draw𝐽𝐾andaddapointMbetweenJandK.Thendraw𝑀𝐿.

10. Usethediagramattherighttoanswerthefollowing.

a. NametheintersectionofplaneACHandplaneFBD.

b. Nametwoplanesthatintersectat𝐺𝐹.

c. Nametheintersectionof𝐸𝐵and𝐺𝐸.

d. TrueorFalse:PointsA,C,andFarecoplanar.

e. TrueorFalse:PlaneACEintersectsplaneDHB.

11. Mikemadeanerrorsolvingthisproblem.Hisworkisshownbelow.OriginalInstructions:PointFisbetweenGandMon𝐺𝑀.Usethegiveninformationtodeterminethelengthof𝐹𝑀.Youaregiven:𝐺𝑀 = 5𝑥 − 3;𝐹𝐺 = 8;𝐹𝑀 = 3𝑥 + 3

a. DescribeMike’serror(s). b. Reworktheproblemcorrectly.12. Vennymadeamistakesolvingthisproblem.Hisworkisshownbelow.Originalinstructions:Youaregiventhat∠𝐻𝐶𝑃and∠𝐽𝐹𝐾aresupplementary.Whatis𝑚∠𝑃𝐶𝐻?

a. DescribeVenny’serror(s). b. Reworktheproblemcorrectly.13. Usethediagramtotherightforquestion1.

a. Find𝑚∠𝑑

b. Find𝑚∠𝑐 +𝑚∠𝑏

c. Whattermisusedtodescribe∠𝑑 & ∠𝑐?

d. Whattermisusedtodescribe∠𝑎 & ∠𝑑?

14. Inadditiontothemarkingsonthedrawing,thefollowingstatementsaregiven:𝐶,𝑉, and 𝐺 are collinear∠𝐷𝑉𝐻 and ∠𝐻𝑉𝐵 are a linear pair𝑉𝐻 is an angle bisector of ∠𝐶𝑉𝐷𝑚∠𝐵𝑉𝐺 = 102°Findtheindicatedvalues.a. 𝑥 = b. 𝑚∠𝐵𝑉𝐸 = c. 𝑚∠𝐷𝑉𝐶 = d. 𝑚∠𝐷𝑉𝐹 =

15. Sallysolvedthefollowingquestionincorrectly.Herworkisshownbelow:

If𝐴𝐷isananglebisectorof∠𝐵𝐴𝐶,findthevalueofx.Thenfind𝑚∠𝐵𝐴𝐷.

a. DescribetheerrorSallymade. b. Solvetheproblemcorrectly.