8)Angles inscribed in the same arc9)Congruent chords have congruent_________.or intercepting congruent arcsare______________.x=______y=______x ={Cone Head}10)Two tangent segments from an external point to a circle are ____________.If AB = 17, x=______11)In a circle, parallel chords intercept congruent_________.x=_____y=_____Triple Theorems:if any 2 of the following are true, the third statement is also true.xy78110xx_____11)a)line through thecenterof a circle12)a) line contains thecenterof a circleb)lineperpendicularto a chordb) linetangentto the circlec)linebisectingthe chordc) lineperpendicularat point of tangencyy10070x••AB

Conclusion:________________Conclusion:_____________••OMABOAB

Page25Circles Worksheet #1ABCD1)ABCD2)3)4)5)6)●x30●80x●50yx●x●xy3065110yxx21086x62●x120●x6560x45●50xx150●40x3050xy100x●x2xy2080x●60xy●50x●100x●5050xy●x20100x3030

Page26

Page27Circles Worksheet #2ABCD1)ABC2)3)4)5)6)●80x90120●x280●70x●80x●x100●70x●10030x●x130●xy80●yx3y70x●30x●x50●7080x220x110x70xx4yy●20x100x245●3yyx●14080x●x120306080x

Page28Other Angles1.If mAC = 85 and mDB = 73, then m1 = _____.2.If mAD = 136 and mCB = 96, then m1 = _____.3.If m1 = 54 and mAC = 78, then mDB = _____.4.If m1 = 48 and mDB = 42, then mAC = _____.In 5–7,EFandEGare tangents.5.If mFHG = 280, then mE =_____.6.If mFG = 96, then mE=_____.7.If mE = 90, then mFHG =______.In 8–10,IJis a tangent.8.If mJK = 120 and mJL = 40, then mI = _____.9.If mI = 45 and mJL = 55, then mJK = _____.10.If mI = 50 and mJK = 110, then mJL = _____.11.If mPT = 100 and mQS = 20, then mR = _____.12.If mPT = 130 and mQS = 40, then mR =____.13.If mR = 25 and mQS = 25, then mPT = _____.14.If mR = 40 and mPT = 130, then mQS = ______.15.If mST = 90, mQS = 60, and mQP = 80, then mR = _____.In 16–19,DFis tangent to the circle at point E.16.If mAG = 100 and mBH = 20, then mC = ______.17.If mC = 25 and mBH = 25, then mAG =_____.18.If mEH = 95 and mGE = 25, then mD =______.19.If mD = 40 and mEH = 138, then mGE =______.ADBC1GEFHKLIJRQPTSABCDGEFH#16 - 19#11 - 15#8 - 10#5- 7#1- 4

Page31Special Segment NotesTheorem of 2 intersecting chords:When 2 chords intersect inside a circle, the product of the segments of onechord = the product of the segments of the other chord.Ex. 1a•b=c•dx=______Ex. 2Ex. 3X=_____x =_____Theorem of 2 secant segments:When 2 secant segments are drawn from an external point, the product of onewhole secant segment and its external segment = product of the other wholesecant segment and its external segment.Ex. 1.(whole secant)( external piece) = (whole secant)(external piece)X=________Theorem of a secant segment and a tangent segment:When a secant segment and a tangent segment are drawn toCircle from an external point, the product of the wholeSecant segment and its ext. piece = (tangent)2.(whole secant)(ext. piece) =(tangent)2Ex1.Ex. 2X=_____x=_______abcd43x63x84•xx33453x43x103xx

Page32Special segment lengths in CirclesSolve for x.1.2.3.x = ________x = ________x = ________4)5)6)x = ________x = ________x = ________7)8)x = ________x = ________9)10)x = ________x = ________4276x293152xx3xx6•x822.58310x84x87x + 3x•44xx1227x2x - 13x3x + 4

Upload your study docs or become a

Course Hero member to access this document

Upload your study docs or become a

Course Hero member to access this document

End of preview. Want to read all 37 pages?

Upload your study docs or become a

Course Hero member to access this document

Term

Summer

Professor

NoProfessor

Tags