Question

constructing parallel and perpendicular lines which statement is true for all parallel lines? (1 point) parallel lines have the same slope. parallel lines have slopes that are undefined. parallel lines have a slope of zero. parallel lines have slopes that are negative reciprocals of each other.

Explanation:

• For parallel lines in coordinate geometry, the key property is that they have the same slope.
• Lines with undefined slopes (vertical lines) are parallel only to other vertical lines, not all parallel lines.
• A slope of zero (horizontal lines) is only for horizontal parallel lines, not all.
• Negative reciprocals of slopes are for perpendicular lines, not parallel.

Answer:

A. Parallel lines have the same slope.