Answer:
CL = LD
Explanation:
In a circle, diameter AB is perpendicular to chord CD at point L. Which statement will always be true about this circle?
1) (CL)(LD)=AB
2) AL > LB
3) CL = LD
4) BL > AB
Answer: The chord is CD and the diameter AD of the circle are perpendicular to each other at point L. According to the perpendicular bisector theorem, if the diameter of a circle is perpendicular to a chord then the diameter bisects the chord and its arc. This means that chord CD is bisected by the diameter of the circle at point L.
Since CD is bisected at point L, CL = LD
Also CD = 2CL = 2LD