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What are Perpendicular Lines? Video Lecture - CTET & State TET

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FAQs on What are Perpendicular Lines? Video Lecture - CTET & State TET

1. What are perpendicular lines?
Ans. Perpendicular lines are two lines that intersect at a right angle, forming a 90-degree angle between them. In other words, if two lines are perpendicular, they will form four right angles at the intersection point.
2. How can you identify if two lines are perpendicular?
Ans. To determine if two lines are perpendicular, you can check the slopes of the lines. If the slopes of the lines are negative reciprocals of each other, then the lines are perpendicular. For example, if one line has a slope of 2/3, the perpendicular line will have a slope of -3/2.
3. Can two horizontal lines be perpendicular?
Ans. No, two horizontal lines cannot be perpendicular to each other. Horizontal lines have a slope of zero, and for two lines to be perpendicular, their slopes must be negative reciprocals. Since zero does not have a negative reciprocal, two horizontal lines cannot form a right angle.
4. Can two vertical lines be perpendicular?
Ans. No, two vertical lines cannot be perpendicular to each other. Vertical lines have undefined slopes, and for two lines to be perpendicular, their slopes must be negative reciprocals. Since vertical lines do not have a defined slope, they cannot form a right angle.
5. Are all diagonals of a rectangle perpendicular?
Ans. Yes, all diagonals of a rectangle are perpendicular. A rectangle has four right angles, and its diagonals connect opposite corners of the rectangle. Since the opposite sides of a rectangle are parallel, the diagonals intersect at a right angle, making them perpendicular.
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