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.
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