The only possible correct answer is:
C) h bisects g.
Explanation:
Since f and h are parallel, f cannot bisect h. Since f is perpendicular to g, f and g cannot be parallel. Since b is perpendicular to f, and f is parallel to h, then b will also be perpendicular to h; they are not parallel.
This leaves c as the only possible answer.
Answer:
Option: c is correct.
c) h bisects g.
Step-by-step explanation:
It is given that:
This means that line b is parallel to line g .
and line g and line b are perpendicular to line h.
a)
f bisects h.
Since f and h are parallel hence, they will never bisect each other.
Hence, option a is incorrect.
b)
g is parallel to f.
Since, g is perpendicular to f. hence it can't be parallel.
Hence, option b is incorrect.
c)
h bisects g.
Since, h comes perpendicular to g.
Hence, they bisect each other.
d)
b is parallel to h.
As h is perpendicular to line b and hence it can't be parallel.
Hence, option d is incorrect.
