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Steps of Construction : Const. of a Line Parallel to a Given Line through a Point not on the Line Video Lecture | Mathematics for Grade 7

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FAQs on Steps of Construction : Const. of a Line Parallel to a Given Line through a Point not on the Line Video Lecture - Mathematics for Grade 7

1. What is the construction of a line parallel to a given line through a point not on the line?
Ans. The construction involves drawing a line parallel to a given line using a compass and a ruler, with the additional condition that the line should pass through a point that is not on the given line.
2. What are the tools required for the construction?
Ans. The tools required for the construction are a compass and a ruler.
3. How do you construct a line parallel to a given line through a point not on the line?
Ans. To construct a line parallel to a given line through a point not on the line, follow these steps: 1. Draw the given line and mark the point that is not on the line. 2. Place the compass at the marked point and draw an arc that intersects the given line at two points. 3. Without changing the compass width, place the compass at one of the intersection points and draw an arc that extends beyond the given line. 4. Without changing the compass width, place the compass at the other intersection point and draw an arc that intersects the previous arc. 5. Draw a line connecting the point of intersection of the two arcs with the marked point. This line is parallel to the given line and passes through the marked point.
4. What is the significance of constructing a line parallel to a given line through a point not on the line?
Ans. The construction is significant because it allows us to create a parallel line without any measurements or specific angles. This is useful in various fields, such as geometry, engineering, and architecture, where parallel lines play a crucial role in designing and constructing structures.
5. Can the construction be done without a compass?
Ans. No, the construction cannot be done without a compass. The compass is essential for drawing the arcs that help create the parallel line. The compass ensures accuracy and precision in the construction process.
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