Which of the following is a property of parallel lines?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

Parallel lines exhibit the property of always having the same slope regardless of their position on the plane. This characteristic ensures that the lines will never meet, as they maintain a consistent distance apart. The concept of slope in this context refers to how steep the line is and can be expressed as the ratio of the rise (vertical change) over the run (horizontal change).

When two lines have identical slopes, they share the same angle of inclination, meaning they will extend infinitely in both directions without converging at any point. This property is fundamental in geometry and is often utilized in various applications, such as in determining structures and navigation.

Other properties highlighted in the choices do not apply to parallel lines: for instance, intersecting at one point indicates that two lines meet at a single location, while forming a right angle suggests a specific relationship that does not pertain to parallel lines. The statement that parallel lines can never meet aligns with the idea of having the same slope but does not specify the unique characteristic that distinguishes parallel lines from others.

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