Download Review 1.1 – 1.3 Geometry For problems 1 – 8, draw and carefully

Review1.1–1.3 Geometry
Forproblems1–8,drawandcarefullylabelthefigures.Usetheappropriatemarkstoindicateright
angles,parallellines,congruentsegments,andcongruentangles.Useaprotractorandrulerwhenyou
needto.
1)AcuteangleDOGwithameasureof45°2)RightangleRTE
3)ObtuseangleBIGwithanglebisector4)𝐷𝐺∥𝑀𝑆
𝐼𝐸
5)𝑃𝐸⊥𝐴𝑅
6)VerticalanglesABCandDBE
7)Complementaryangles∠𝐴and8)Supplementaryangles∠𝐶and
∠𝐵withm∠𝐴=40° ∠𝐷withm∠𝐷=40°
9)IfangleXandangleYaresupplementaryangles,aretheynecessarilyalinearpair?Whyorwhy
not?
10)Thereissomethingwrongwiththisdefinitionforapairofverticalangles:“If𝐴𝐵and𝐶𝐷
intersectatpointP,then∠APCand∠BPDareapairofverticalangles.”Sketchacounterexampleto
showwhyitisnotcorrect.Canyouaddaphrasetocorrectit?
Forexercises11–20,fourofthestatementsaretrue.Indicatewhethereachstatementistrueorfalse.
Makeasketchordemonstrateeachtruestatement.Foreachfalsestatement,drawacounterexample.
11)Foreverylinesegment,thereis
12)Foreveryangle,thereisexactly
exactlyonemidpoint. oneanglebisector.
13)Iftwodifferentlinesintersect,then 14)Iftwodifferentcirclesintersect,then
theyintersectatoneandonlyonepoint.
theyintersectatoneandonlyonepoint.
15)Throughagivenpointonaline,
16)Ineverytriangle,thereisexactly
thereisoneandonlyonelineperpendicular onerightangle.
tothegivenline.
17)Throughapointnotonaline,oneand
18)IfCA=AT,thenAisthemidpointof𝐶𝑇.
onlyonelinecanbeconstructedparallel
tothegivenline.
19)Ifm∠𝐷=40°andm∠𝐶=140°,then20)IfpointAisnotthemidpointof𝐶𝑇,then
anglesCandDarealinearpair.CA≠AT.