In one of my posts, I had spoken about how to divide a line segment into two equal parts. But sometimes, we feel the need to divide the given line segment into more than two congruent parts. It is really difficult to divide the segment in odd numbers like three, five or seven congruent parts.
How would a segment of three cms be divided into five congruent parts? But there is a way out too. Follow these steps carefully and you can divide even smaller segments into more parts than its length into equal parts.
First of all, here are the thingswhat you will need:
- Eraser (optional)
Here are the steps
First of all draw a segment of three cms using your scale. Let us name segment AB. Now, draw an angle of about 450 to 500 from point A. This ray of the angle would point towards the top right corner. Now, place the protractor on point B and draw another angle of the same measure.
While drawing this angle take care that it points towards you. In other words, theray of this angle should direct towards the bottom left corner. To draw this angle, place the protractor upside down, with the semi-circular region towards you.
Now, take the compass and take a suitable distance between the metal end and the pencil end. As we have to make five congruent parts, make five arcs on the ray starting from point A. increase the length of the ray if needed. Name them as A1, A2, A3, A4 and A5.
Keep the same measurement and draw five arcs on the second ray from point B. Name them B1, B2, B3, B4, and B5. Now draw a line from point A to B5, then from A1 to B4, A2 to B3 and in this way, you will end up with A5 to B.
Now check that these five parts are congruent.