parallel lines
Parallel lines are lines in a plane that never intersect or cross each other, no matter how far they are extended
Parallel lines are lines in a plane that never intersect or cross each other, no matter how far they are extended. When two lines are parallel, they have the same slope and will never meet. In other words, they maintain the same distance between each other throughout their length.
The symbol for indicating that two lines are parallel is “||.” So, if line AB and line CD are parallel, it can be written as AB || CD.
Properties of parallel lines include:
1. Equal Interior Angles: When a pair of parallel lines is intersected by a transversal (a line that crosses both lines), the interior angles on the same side of the transversal are congruent (i.e., they have equal measures).
2. Alternate Interior Angles: These angles are on opposite sides of the transversal and on the inside of the parallel lines. They are congruent, meaning they have equal measures.
3. Corresponding Angles: These angles are in corresponding positions when a transversal intersects two parallel lines. Corresponding angles are congruent.
4. Same-Side Interior Angles: These angles are on the same side of the transversal and inside the parallel lines. They add up to 180 degrees.
It is important to remember that the concept of parallel lines applies specifically to lines in a two-dimensional plane. In three-dimensional space, lines can be skew (non-intersecting) or intersect.
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