Answer:
For dividing the line segment AB into three equal parts we will follow the following steps,
Step 1 : First draw a line from point A at an angle to the line segment AB.
Step 2: Set a compass on A and set a width that is little bit greater than 1/3 part of the line.
Step 3: Mark 3 arc on the line and label C on the third arc in the line.
Step 5: Now, Mark an arc from the point A with the same arc length, below the line AB.
Step 6: With the compasses set the width of AC, draw an arc from B crossing the one arc that drawn in step 5. This intersection is point D.
Step 7: Now join the point B and D.
Step 8: Now make the 3 arc on the line segment BD with the same arc length of the three arc made on the line segment AC.
Step 9: Draw lines between the corresponding points along AC and DB.
Step 10: The lines divide the given line segment AB in to 3 congruent parts.
2) For, dividing CD into three equal parts we will also follow the above steps.
3) For dividing AB into five equal parts, we will also follow the above steps but in the second step we will set a width that is little bit greater than 1/4 part of the line and in 3rd step we will mark 4 arc.
For better understanding refer the below solution.
Step-by-step explanation:
Solution :
1) The line segment AB divided into three equal parts by following steps -
Step 1 : Draw a line from point A at an angle to the line segment AB.
Step 2: Set a compass on A and set a width that is little bit greater than 1/3 part of the line.
Step 3: Mark 3 arc on the line and label C on the third arc in the line.
Step 4: Now, Mark an arc from the point A with the same arc length, below the line AB.
Step 5: With the compasses set the width of AC, draw an arc from B crossing the one arc that drawn in step 5. This intersection is point D.
Step 6: Now join the point B and D.
Step 7: Now make the 3 arc on the line segment BD with the same arc length of the three arc made on the line segment AC.
Step 8: Draw lines between the corresponding points along AC and DB.
Step 9: The lines divide the given line segment AB in to 3 congruent parts.
2) For dividing CD into three equal parts we will also follow the above steps.
Step 1 : First draw a line from point C at an angle to the line segment CD.
Step 2: Set a compass on C and set a width that is little bit greater than 1/3 part of the line.
Step 3: Mark 3 arc on the line and label E on the third arc in the line.
Step 4: Now, Mark an arc from the point C with the same arc length, below the line CD.
Step 5: With the compasses set the width of CE, draw an arc from D crossing the one arc that drawn in step 5. This intersection is point F.
Step 6: Now join the point D and F.
Step 7: Now make the 3 arc on the line segment DF with the same arc length of the three arc made on the line segment CE.
Step 8: Draw lines between the corresponding points along CE and ED.
Step 9: The lines divide the given line segment CD in to 3 congruent parts.
3) To divide AB into five equal parts, we will follow the above steps but in the second step the width is little bit greater than 1/4 part of the line and in 3rd step we will mark 4 arc.
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https://brainly.com/question/20348349?referrer=searchResults
