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
