THEOREM 7 A
Line from centre 1 to chord
if 0M LAB then AM BM
O Q
A M B A I m l B
THEOREM 7 A
converse
Linefromcentreto midpointofchord
If AM BM then 0M LAB
0
A 1 M I B A M B
,THEOREM 7 B
I bi sector of chord
tf OM I AB 2 AM BM
then 0 is the circle's centre
, THEOREM 2
at centre 2L at circum
C
F
O C
O
X
2x
B
A
A
B
C
C
I B
A
iQ
20C
A B
Line from centre 1 to chord
if 0M LAB then AM BM
O Q
A M B A I m l B
THEOREM 7 A
converse
Linefromcentreto midpointofchord
If AM BM then 0M LAB
0
A 1 M I B A M B
,THEOREM 7 B
I bi sector of chord
tf OM I AB 2 AM BM
then 0 is the circle's centre
, THEOREM 2
at centre 2L at circum
C
F
O C
O
X
2x
B
A
A
B
C
C
I B
A
iQ
20C
A B
