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Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement.

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To draw a line segment of length 12.8 cm and divide it into four equal parts using compasses, follow these steps: Draw the Line Segment: Use a ruler and a pencil to draw a straight line segment of any convenient length. Label the endpoints of the segment as A and B. Measure and Mark the Length: Starting...
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To draw a line segment of length 12.8 cm and divide it into four equal parts using compasses, follow these steps:

  1. Draw the Line Segment:

    • Use a ruler and a pencil to draw a straight line segment of any convenient length. Label the endpoints of the segment as A and B.
  2. Measure and Mark the Length:

    • Starting from point A or B, measure and mark a distance of 12.8 cm along the line segment. Label this point as C. This will ensure that the line segment is exactly 12.8 cm long.
  3. Divide the Line Segment into Four Equal Parts:

    • With C as the center, use a compass to draw an arc above and below the line segment. The radius of the arcs should be greater than one-fourth of the length of AB.
    • Without changing the compass width, draw two more arcs with the same radius, each centered at the previous intersection points. Repeat this process until you have four intersection points equally spaced along the line segment.
    • Use a ruler to draw straight lines connecting the adjacent intersection points. These lines will divide the line segment AB into four equal parts.
  4. Verify by Actual Measurement:

    • Use a ruler to measure each of the four parts. If they are indeed equal, then the division is accurate.

By following these steps carefully, you can divide the line segment of length 12.8 cm into four equal parts using compasses. Make sure to verify the division by actual measurement to ensure accuracy.

 
 
 
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