Geometry
Name___________________________________
5.1-5.3 Classwork Assignment
Date________________
For each triangle, construct all three altutides to show they are concurrent.
Identify the point of concurrency by the name discussed in class.
1)
2)
a. For each triangle, construct all three perpendicular bisectors to show they are concurrent.
b. Identify the point of concurrency as discussed in class.
3)
4)
-1©w X2A0B1Z6M LKNuLtOad QSLoifrtAwnayrNed ILKLDCK.u l hAilYll CrdimgkhotCsn xryeFseeFrzv_e^dz.y w GMxa]d`eM iweiatUhL AIGnofXiKnGi[tYeU cGDewofmjentzrjyq.
Worksheet by Kuta Software LLC
a. For the triangle, construct all three medians to show they are concurrent.
b. Identify the point of concurrency as discussed in class.
5)
a. For each triangle, construct all three angle bisectors to show they are concurrent.
b. Identify the point of concurrency as discussed in class.
6)
-2©G z2K0o1d6p ZKGuytyaO DSVoOfztdwCaqrheU HLALqCQ._ W AAFltll mrUiSgjhutQsA krAexsKearlvgerdA.V Q kMeaSdcex HwDiftrhQ KIDnNfeiUn]idt_eM KG[eUormTertBr\yc.
Worksheet by Kuta Software LLC
Circumscribe a circle about each triangle.
7)
Inscribe a circle in each triangle.
8)
Each figure shows a triangle with one or more of its medians.
9) Find QY if QW = 18
U
Q
10) Find XZ if BZ = 2
Y
R
Y
A
W
X
B
Z
S
11) Find CP if PH = 20
B
H
I
P
D
C
-3-
©M `2W0q1e6\ OKQu_tZaV oSBoefZtDwHaQrPeD mLsL]Ct.J H YA\lklo rrKiHgkhat[sX tr[eEsueyrFvaesdn.T P NMOaqdSeg KwAiQtch[ IItn[fti^nOintVeU sGleOo\mCestCrgyR.
Worksheet by Kuta Software LLC
!
12)!In!quadrilateral! WVUT ,!the!points!F,!E,!D,!and!C!are!midpoints.! WU = 45in. and!
TV = 31in. !
a. Find! CD !
!
b.!Find! CF ! !
c.!Find! ED !
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
13)!Identify!three!pairs!of!parallel!lines!in!the!following!diagram:!!!
!
14)!Give!the!coordinates!of!the!point!of!concurrency!of:!
a.!the!perpendicular!bisectors!
b.!the!altitudes!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
Show!work!or!justify!your!answers!with!theorems!or!definitions.!
!
uur
15)!How!is! JP !related!to! ∠LJN ?!
!
!
16)!Find!the!value!of!x.!!
!
!
17)!Find! m∠KJP !
!
!
18)!Find! m∠OJP !
!
!
19)!Find! NM !
!
!