parallel lines
two coplanar lines that never intersect
Parallel lines are two or more lines that are always the same distance apart and never intersect. They are always equidistant and never meet regardless of how much they are extended. In geometry, parallel lines are denoted by a double vertical line symbol || that is placed between them.
Parallel lines have many unique properties. Two of the most important properties are:
1) Corresponding angles are congruent: Corresponding angles are defined as angles that are in the same position, such as the angles that are on the opposite side of the transversal and the same-side interior angles. Corresponding angles are always congruent when two parallel lines are cut by a transversal.
2) Alternate interior angles are congruent: Alternate interior angles are defined as angles that are on opposite sides of the transversal and on the inside of the parallel lines. Alternate interior angles are always congruent when two parallel lines are cut by a transversal.
Parallel lines are used in many real-life applications such as architecture, engineering, and art. Architects use parallel lines to design buildings, while engineers use them to design bridges, roads, and other structures that require precise measurements. In art, artists use parallel lines to create depth, shading, and perspective in their drawings and paintings.
In conclusion, parallel lines are important in geometry and have many practical applications in our daily lives. Understanding the properties of parallel lines will enable you to solve geometric problems involving them and also appreciate their use in both art and engineering.
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