segment addition postulate

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Name:_____________________________________________Date:________________________Geometry-Ms.LinTest#1Review

SegmentAdditionPostulate

SOLVEIT.1.

a)Findthevalueofx.b)FindAC.

2.DeterminewhethersegmentABiscongruenttosegmentBC.Justifyyouranswer.

FindingtheMidpointMidpoint=(Averageofthex-coordinates,Averageofthey-coordinates)Midpointformula:SOLVEIT.3.Theendpointsof are and .Whatarethecoordinatesofthemidpointof ?

Segment Addition Postulate says if B is between A and C, then AB + BC = AC

A CB

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FindingtheEndpoint

SOLVEIT.4.Themidpointof isM(2,1).OneendpointisJ(1,4).FindthecoordinatesofendpointK.

FindingthedistanceThedistanceformula: SOLVE IT. 5. a) The coordinates of point R are (-3, 2) and the coordinates of point T are (4, 1). What is the length of

in simplest radical form? b) What is the length to the nearest tenth?

JK

RT

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Angles

COMPLEMENTARYANGLES7.a)GiventhatÐABCisarightangle,findmÐABDandmÐDBC. b)ClassifyÐABDandÐDBC.

SUPPLEMENTARYANGLES8. and intersectatE.If

and find,indegrees,

àEquationsofparallelandperpendicularlines9.

10.

AB CD205 -=Ð xAECm ,50+=Ð xBEDm.CEBmÐ

SOLVEIT. ANGLEADDITIONPOSTULATE6.a)GiventhatmÐADC=145°,findmÐADBandmÐBDC. b)ClassifyÐADC,ÐADBandÐBDC.

D

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11. What is an equation of the line that passes through the point (2,4) and is perpendicular to the line whose equation is 3y =6x +3?

12.

àPerpendicularbisectors13.

14.

àAnglesformedbytwoparallellinescutbyatransversal15.

16.In the diagram below, 𝐸𝐹intersects 𝐴𝐵 and 𝐶𝐷(((( at G and H, respectively, and GI is drawn such that 𝐺𝐻(((( ≅𝐼𝐻 .

If m∠EGB =50°and m∠DIG =115°, explain why𝐴𝐵 ∥ 𝐶𝐷.

àPartitioning a line segment17. The endpoints of 𝐷𝐸𝐹 are D(1,4) and F(16,14). Determine and state the coordinates of point E, if DE:EF =2:3.

18.Point P is on segment AB such that AP:PB is 4:5. If A has coordinates (4,2), and B has coordinates (22,2), determine and state the coordinates of P.