Draw the Line segment AB=4.1cm and CD=2.6cm now, construct the followi...
Constructing Line Segments Using a Ruler
To construct various line segments using a ruler, we will start with a given line segment AB measuring 4.1 cm and CD measuring 2.6 cm. Let's explore the steps to construct additional line segments and determine their measurements.
1. Bisecting Line Segment AB
To bisect line segment AB, follow these steps:
1. Place the compass point at point A and adjust the compass width to more than half the length of AB.
2. Draw two arcs above and below line segment AB.
3. Without changing the compass width, place the compass point at point B and draw two more arcs, intersecting the previous arcs.
4. Draw a straight line connecting the two points where the arcs intersect. This line will bisect AB at point M.
The measurement of line segment AM will be half the length of AB, which is 2.05 cm.
2. Constructing a Line Segment of Length 5.7 cm
To construct a line segment of length 5.7 cm, follow these steps:
1. Place the compass point at point A and adjust the compass width to 5.7 cm.
2. Without changing the compass width, draw an arc intersecting the line segment AB.
3. Place the compass point at the intersection of the arc and line segment AB and draw another arc intersecting the previous arc.
4. Draw a straight line connecting point A and the second intersection. This line segment will measure 5.7 cm.
3. Constructing a Line Segment of Length 1.3 cm
To construct a line segment of length 1.3 cm, follow these steps:
1. Place the compass point at point C and adjust the compass width to 1.3 cm.
2. Without changing the compass width, draw an arc intersecting the line segment CD.
3. Place the compass point at the intersection of the arc and line segment CD and draw another arc intersecting the previous arc.
4. Draw a straight line connecting point C and the second intersection. This line segment will measure 1.3 cm.
4. Constructing a Line Segment Half the Length of CD
To construct a line segment half the length of CD, follow these steps:
1. Place the compass point at point C and adjust the compass width to more than half the length of CD.
2. Draw two arcs above and below line segment CD.
3. Without changing the compass width, place the compass point at point D and draw two more arcs, intersecting the previous arcs.
4. Draw a straight line connecting the two points where the arcs intersect. This line segment will be half the length of CD, which is 1.3 cm.
Summary
By following the steps mentioned above, we can construct different line segments using a ruler and determine their measurements accurately. These constructions help us visually understand the concept of line segments and their lengths. Remember to use a sharp pencil, ruler, and compass for precise measurements and constructions.
To make sure you are not studying endlessly, EduRev has designed Class 6 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 6.