Subjects geometry

Parallel Lines 60C9Ba

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Parallel Lines 60C9Ba


1. The problem asks to complete the statement: "Parallel lines always have the same ____________." The options are y-intercept, x-intercept, and gradient. 2. In geometry, parallel lines are lines in a plane that never meet; they have the same slope or gradient but different intercepts. 3. Therefore, the correct completion is: Parallel lines always have the same **gradient**. 4. Next, we analyze which lines among A, B, C, and D are parallel based on their slopes. 5. Line A is vertical, so its slope is undefined. 6. Line C has a positive slope. 7. Lines B and D have negative slopes. 8. Since parallel lines must have the same slope, lines B and D are parallel to each other because they both have negative slopes. 9. Line A is vertical and does not share slope with any other line, so it is not parallel to any other line. 10. Line C has a positive slope and is not parallel to lines B or D. Final answers: - Parallel lines always have the same **gradient**. - Lines B and D are parallel to each other.