Parallel, perpendicular or skew and why?

[bilius2007]

1 Is the backboard perpendicular, parallel, or skew to the ground?
2 Is the plane containing the rim perpendicular, parallel, or skew to
the backboard?
3 Is the plane containing the rim perpendicular, parallel, or skew to
the ground?


3

 

[Deleted member 4993]

1 Is the backboard perpendicular, parallel, or skew to the ground?
2 Is the plane containing the rim perpendicular, parallel, or skew to
the backboard?
3 Is the plane containing the rim perpendicular, parallel, or skew to
the ground?

View attachment 23619
3

Using your textbook/classnotes/google, tell us the definitions of parallel, perpendicular and skew planes.

 

[bilius2007]

Parallel lines are coplanar (they lie in the same plane) and never intersect.
Perpendicular lines intersect at a 90∘ right angle. This intersection is usually shown by a small square box in the 90∘ angle.
Skew lines are lines that are non-coplanar (they do not lie in the same plane) and never intersect.

 

[Deleted member 4993]

Parallel lines are coplanar (they lie in the same plane) and never intersect.
Perpendicular lines intersect at a 90∘ right angle. This intersection is usually shown by a small square box in the 90∘ angle.
Skew lines are lines that are non-coplanar (they do not lie in the same plane) and never intersect.

Now think about "normal" to the planes.

 

[JeffM]

Parallel lines are coplanar (they lie in the same plane) and never intersect.
Perpendicular lines intersect at a 90∘ right angle. This intersection is usually shown by a small square box in the 90∘ angle.
Skew lines are lines that are non-coplanar (they do not lie in the same plane) and never intersect.

But the question asks about planes rather than lines. How are parallel, perpendicular, and skew defined for planes?

 

[bilius2007]

You guys are right. Planes instead of lines. The answer is perpendicular, perpendicular, and parallel.

 

[Steven G]

I believe that parallel lines can intersect. When they do they are the same lines. For examples (in 2-D) y = 3x + 5 and y = 3x + 5 both having the same slope are parallel and they do intersect--everywhere on the line y = 3x + 5

 

[Steven G]

You guys are right. Planes instead of lines. The answer is perpendicular, perpendicular, and parallel.

Your answers are correct.