If A ~ B and B ~ C then A ~ C. The above statement is true is you substitute "is parallel to" for ~ or if you substitute "is congruent to" for ~.
If L1 is parallel to L2 and L2 is parallel to L3 then L1 is parallel to L3.
PERPENDICULAR
These lines are perpendicular: _|
Lines that aren't perpendicular
If A ~ B and B ~ C then A ~ C. The above statement is true is you substitute "is parallel to" for ~ or if you substitute "is congruent to" for ~.
If two lines are parallel to the same line, then they are parallel to each other.
If two lines are parallel to the same line, then they are parallel to each other.
No, equality of numbers has a reflexive property. Perpendicularity of lines has a symmetric property.
perpendicular lines are lines that MEET at right angles (90 degrees). Skew lines are lines that dont meet at all. Even though the gradients of two skew lines can multiply to be -1 (a property of perpendicular lines) They will not really be perpendicular as they don't accually meet. This can occur when the lines are in different planes.
If L1 is parallel to L2 and L2 is parallel to L3 then L1 is parallel to L3.
They are similar because they both have the definition of if A=B and B=C then A=C. They are different because since every parallel line is equal it shows that they do not exactly match up because of the transitive property of congruence.
= parallel + perpendicular As such no, perpendicular lines do not naturally have parallel lines. However...connect the lines in the symbols below. ++ ++ And you'll have 4 perpendicular lines, and 4 parallel lines.
Perpendicular lines intersect.
PERPENDICULAR
These lines are perpendicular: _|
Lines that aren't perpendicular