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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?
a. G || h
b. B⊥ h
c. B || g
d. H⊥ f


Sagot :

Answer:

  a. G || h

Step-by-step explanation:

In a plane, you have parallel lines b, f, g, and line h perpendicular to b, and you want to identify the false relationship.

Transitive property

In a plane, lines parallel to the same line are parallel to each other. Here, that means lines b, f, and g are all parallel to each other.

Perpendicular

If one of them is perpendicular to line h, then all of those parallel lines are perpendicular to line h. Here, that means line G cannot be parallel to line H, choice A.