Question

3. In circle OJ, shown below, LK and MN are chords,
intersecting at point O. If LO=3, OK= 3, and MO =
1, what is ON?
M
K
(1) 1
(2) 3
(3) 6
(4) 9

Answer 1

9514 1404 393

Answer:

  (4)  9

Step-by-step explanation:

The product of the segment lengths of each chord is the same.

  LO×OK = MO×ON

  ON = LO×OK/MO = 3×3/1

  ON = 9