25 POINTS

In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?

h⊥f

b⊥h

g || h

b || g

Respuesta :

The false statement will be g || h since, Line H can not be parallel to , line G or line F.

This is further explained below.

What are parallel lines?

Line B ║ Line F

Line G ║ Line F

In most cases, two lines that are parallel to one another will also be parallel to one another.

Line G ║ Line F ║Line B

In conclusion, If there is more than one line that is parallel to another in a plane, and another line in the plane is perpendicular to one of the parallel lines, then that other line is perpendicular to all of the parallel lines.

Hence

Neither line G nor line F may be parallel to line H. Option D

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