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Problem Set: Functions Video Lecture | Quantitative for GMAT

FAQs on Problem Set: Functions Video Lecture - Quantitative for GMAT

1. What are the basic properties of a line in geometry?
Ans. The basic properties of a line in geometry include that it is straight, extends infinitely in both directions, has no thickness, and is defined by two distinct points. Additionally, a line can be represented by a linear equation in a coordinate system.
2. How is the slope of a line calculated?
Ans. The slope of a line is calculated by taking the difference in the y-coordinates (rise) of two points on the line and dividing it by the difference in the x-coordinates (run) of those same points. The formula is given as slope (m) = (y2 - y1) / (x2 - x1).
3. What is the difference between a line and a line segment?
Ans. A line is a straight path that extends infinitely in both directions, while a line segment is a part of a line that has two endpoints. In other words, a line segment has a fixed length, whereas a line does not.
4. Can lines be parallel or perpendicular?
Ans. Yes, lines can be parallel if they are in the same plane and do not intersect, maintaining a constant distance apart. Lines are perpendicular if they intersect at a right angle (90 degrees).
5. What is a transversal line?
Ans. A transversal line is a line that crosses two or more other lines in the same plane at distinct points. It creates several angles, which can be analyzed to determine relationships like alternate interior angles and corresponding angles.
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Problem Set: Functions Video Lecture | Quantitative for GMAT

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