When we divide a line segment in a ratio there is a part where we need to draw parallel line. How can we draw a parallel to a given line using compass?

Asked by Kalita Padmanath | 28th Dec, 2015, 01:49: PM

Expert Answer:

Start with a line segment XY that we will divide up into 5 (in this case) equal parts.

Step1: From point X, draw a line segment at an angle to the given line, and about the same length. The exact length is not important.

Step2: Set the compasses on X, and set its width to a bit less than one fifth of the length of the new line.

Step3: Step the compasses along the line, marking off 5 arcs. Label the last one C.

Step4: With the compasses' width set to CY, draw an arc from X just below it.

Step5: With the compasses' width set to XC, draw an arc from Y crossing the one drawn in step 4. This intersection is point D.

Step6: Draw a line from D to Y.

Step7: Using the same compasses' width as used to step along XC, step the compasses from D along DY making 4 new arcs across the line

Step8: Draw lines between the corresponding points along XC and DY.

Step9: Done. The lines divide the given line segment XY in to 5 congruent parts.

Answered by Vijaykumar Wani | 30th Dec, 2015, 12:33: PM