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Homework #59
SAKEL HOSSAIN              HW# 59                       DATE-3-21-12
MRS.MUI                                                     F.H.S
PAGE (101)
7.Circle O with arc AB congruent to CD. Prove triangle ABO congruent to
triangle CDO.


          A            STATEMENT                   REASON
                       1. Circle O with arc AB     1. Given
      O
                       congruent to CD.            2. If the arc of a circle is
                  B
                       2. Chord AB congruent to    congruent then the
                       CD.                         intercepted chord are also
 D            C
                       3. AO congruent to OD.      congruent.
                       4. OB congruent to OC.      3. In a circle the radii are
                       5. Triangle ABO congruent   congruent.
                       to triangle CDO.            4. Same as #3
                                                   5. SSS congruent to SSS.
Homework #58
Erica Rivera – Page 101 #8
Bryant Narvaez
Page 108 question 23       Homework #58
Given: triangle PQR in inscribed in circle O, Chord PQ = Chord PR
Prove: (A) Arc PQ= Arc PR (B) Arc PQR= Arc PRQ

Statement                             Reason

1) Triangle PQR in inscribed in circle 1) Given

O, Chord PQ = Chord PR                2) In a circle if 2 chords are congruent

2) Arc PQ= Arc PR                     then the intercepted arcs are congruent

3)Arc QR = Arc QR                     3) Reflexive Property

4) Arc PQ+ Arc QR = Arc PR+           4) Addition postulate (steps 2,3)

ArcQR

            Arc PQR = Arc PRQ
Homework #59
Massau Yu- Page 101 #7

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Circle arc congruence proof

  • 1. Homework #59 SAKEL HOSSAIN HW# 59 DATE-3-21-12 MRS.MUI F.H.S PAGE (101) 7.Circle O with arc AB congruent to CD. Prove triangle ABO congruent to triangle CDO. A STATEMENT REASON 1. Circle O with arc AB 1. Given O congruent to CD. 2. If the arc of a circle is B 2. Chord AB congruent to congruent then the CD. intercepted chord are also D C 3. AO congruent to OD. congruent. 4. OB congruent to OC. 3. In a circle the radii are 5. Triangle ABO congruent congruent. to triangle CDO. 4. Same as #3 5. SSS congruent to SSS.
  • 2. Homework #58 Erica Rivera – Page 101 #8
  • 3. Bryant Narvaez Page 108 question 23 Homework #58 Given: triangle PQR in inscribed in circle O, Chord PQ = Chord PR Prove: (A) Arc PQ= Arc PR (B) Arc PQR= Arc PRQ Statement Reason 1) Triangle PQR in inscribed in circle 1) Given O, Chord PQ = Chord PR 2) In a circle if 2 chords are congruent 2) Arc PQ= Arc PR then the intercepted arcs are congruent 3)Arc QR = Arc QR 3) Reflexive Property 4) Arc PQ+ Arc QR = Arc PR+ 4) Addition postulate (steps 2,3) ArcQR Arc PQR = Arc PRQ