Question

Henry is given a task to divide a segment into six equal parts, using a triangle and a compass. How many arcs would he need to complete this task?
A. three
B. four
C. five
D. six

Answer 1

Answer:

The correct option is;

D. Six

Explanation:

In order to divide a segment into six equal parts using a triangle and a compass, we have

1) With one (hypotenuse) side of the triangle placed on the segment to be divided, draw a slant line along at an angle to the segment to be divided into six equal parts

2) With the compass set to a fixed width, draw six arcs on the line drawn above from the start point of the given segment

3) With a side of the triangle drawl a line from last arc drawn on the slant line to the end of the segment to be divided into six equal parts

4) With the triangle, draw lines from the other arc marks on the slant line to the segment to be bisected parallel to the line drawn from the last arc to the end of the segment to be divided into six equal parts

5) The parallel lines joining the slant line to the segment will divide the given segment into six equal parts.