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In a plane, line b is perpendicular to line f, line f is perpendicular to line g, and line h is parallel to line f. Which of the following must be true?. . a)f bisects h. b)g is parallel to f . c)h bisects g . d)b is parallel to h. i think its either b or d

Verified Answer :

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:

  • line b is perpendicular to line f.
  • line f is perpendicular to line g.
  • and line h is parallel to line f.

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.

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