Parallel and Perpendicular Lines Geometry

Statement: Given a line 'l' and a point 'P' not on 'l', there exists...
Euclidean: One and only one line parallel to 'l'.
Spherical: ??

• No parallel line

• 2 parallel lines

• 1 parallel line

• 500 parallel lines

Statement: Through a point not on line 'l', there exists...
Euclidean: One and only one line perpendicular to 'l'.
Spherical: ??

• 4 lines perpendicular to 'l'

• 2 lines perpendicular to 'l'

• 3 lines perpendicular to 'l'

• 1 line perpendicular to 'l'

What value of x proves that line p is parallel to line r?

• 14

• 12.5

• 15

• 25

Parallel lines have what kind of slope?

• Equal

• Opposite Reciprocals

• Opposite Signs

• Neither

• line s

• line t

• line m

• line l

• line l

• line m

• line s

• line t

• line s

• line t

• line m

• line l

The lines are ​ (a)  

• Neither

• Parallel

• Perpendicular

• line s

• line t

• line m

• line l

Solve for x

• 80

• 100

• 90

• 180