2 true false question about geometry they stumped me how about you!?

#1. true or false,a plane and space have the same dimensions.


#2. true or false, according to the definition of parallel in euclidean geomemtry, every line is parallel to itself.2 true false question about geometry they stumped me how about you!?
#1 is false, because plane is 2 dimentional where as the space is omnidimentional.We can only say that space includes line, plane, volume.


#2 is true. Every line is parallel to itself because parallel lines can coinside with one another or it can be colinear. but, lines that are not parellel can only intersect at a point.2 true false question about geometry they stumped me how about you!?
1. I'm not sure what you mean by ';same dimensions.';





2. If parallel requires that two lines don't intersect, then a line isn't parallel to itself.
#1 should be false.. plane is only two dimensional, space is three dimensional.. in order to get the length of a certain in plane the equation is d =sqrt(x^2 + y^2) while in space d = sqrt(x^2 + y^2 + z^2)





#2 true.
# 1 false, a plane has only two dimensions, and a space can have many dimensions.





# 2 is false - in Euclidean geometry, two lines are parallel if they never intersect. A line can not be parallel with itself, because it intersects an infinite number of times.