Geometry4.1-4.5Review Name__________________________________________Pd_____1.IfSisthemidpointof𝑅𝑇,then_________≅_________.2.Gismidpointof𝑀𝑅. 3.Misthemidpointof𝐶𝐷.Findthevalueofx. Showwork!a.Drawapicture,markappropriately. b.IfMG=8,thenGR=_____andMR=______. 𝑥 =________4.𝐷𝐵isthebisectorof∠𝐴𝐷𝐶.𝑚∠𝐶𝐷𝐵 =52˚. 5.𝐺𝐻isthebisectorof∠𝐹𝐺𝐼and𝒎∠𝑭𝑮𝑰=88˚.

(hint:readcarefully!) Findtheindicatedanglemeasurementsandthe valueofx.Showwork!

∠𝐴𝐷𝐵 ≅_________ 𝑚∠𝐹𝐺𝐻=______ ˚ 𝑚∠𝐴𝐷𝐶 = _______˚ 𝑚∠𝐼𝐺𝐻=______ ˚ 𝑥 =________6.Classifythetrianglebyitssidesandangle. sides_____________________________angles_____________________________

Inthefollowingproblems,findthevalueofx.Showwork!(hint:markpictures)

7.___________ 8.___________ 9.___________

10.___________ 11.___________ 12.___________13.___________ 14.___________

15.Inthefollowingpicture,∆𝑨𝑩𝑪 ≅ ∆𝑫𝑬𝑭.Completethefollowing.

a.∠𝐸 ≅ ________ b.𝑚∠𝐵 = ________˚

c.𝐸𝐹 ≅ ________ d.EF=________

e.∆𝐵𝐴𝐶 ≅____________ f.𝑚∠𝐴 = ________˚

Statethe3rdcongruencethatmustbegiventoprovethat∆𝑱𝑹𝑴 ≅ ∆𝑫𝑭𝑩usingtheindicatedpostulate.16.GIVEN:𝐽𝑅 ≅ 𝐷𝐹,𝐽𝑀 ≅ 𝐷𝐵,__________≅ __________ UsetheSSSCongruencePostulate17.GIVEN: 𝐽𝑅 ≅ 𝐷𝐹,𝐽𝑀 ≅ 𝐷𝐵,__________≅ __________ UsetheSASCongruencePostulateMARKthepictureswithotherknowninformation!Decideifthetrianglesarecongruent.Ifyes,tellwhichmethodyouchoseandcompletethecongruencystatement.

18. 19. 20.

YESorNO YESorNO YESorNO

Ifyes,SSSorSAS Ifyes,SSSorSAS Ifyes,SSSorSAS

∆KGH≅∆___________ ∆UVT≅∆___________ ∆ABD≅∆___________Completethefollowingproofs.MARKthepictureswithgivenandotherknowninformation!

21.Given: 𝐸𝐹 ≅ 𝐸𝐺 22.Given:𝐴𝐵 ≅ 𝐶𝐵,

𝐸𝐻bisects∠FEG 𝑀 is the midpoint of 𝐴𝐶

Prove:∆FHE≅∆GHE Prove:∆AMB≅∆CMB Given Given𝐸𝐻bisects∠FEG 𝑀 is midpoint of 𝐴𝐶 defnof_______________ defnof______________∆FHE≅∆GHE