A hexagon/hexagon is a six-sided polygon. A regular hexagon is a flat shape that has six equal sides. Because it has six symmetrical axes, the hexagon can be divided into smaller equal areas or parts, using the midpoints and corners as reference points. You can still divide an irregular hexagon, which has different lengths of sides, into three equal parts; however, since the irregular hexagons have different properties, there is no specific way to work with them.
Step
Part 1 of 2: Dividing Into Three Equal Parts
Step 1. Mark the midpoint of the hexagon
If the center of the hexagon is not marked, you can determine it using a ruler. Draw a straight line (diagonal), connecting one corner to the corner opposite. Draw a second diagonal that connects the other corner to the corner opposite it as well. The intersection of these diagonal lines is the midpoint of the hexagon.
Erase the diagonals after marking the midpoint
Step 2. Draw a line from the center point to the corner of the hexagonal
You can start from any angle. Use a ruler to draw lines.
Step 3. Draw a line from the midpoint to the third and fifth corners
You have to step over every other corner so you now have three lines, with one corner between each.
Drawing a line to each corner produces six equilateral triangles, all six of which are equal. By stepping one corner in making a line, the number of equal areas remains in half (3 equal areas)
Step 4. Identify the three equal parts
Each of these equal parts is a rhombus, which is a four-sided flat shape with equal sides and two sets of parallel sides.
Part 2 of 2: Draw a Regular Hexagon
Step 1. Draw one side of the hexagon
A regular hexagon has six sides of equal length. Once the side lengths of the hexagon have been determined, use a ruler to draw a line of the correct length. If the length of the shape is not specified, you are free to determine the length.
For example, you can draw a line AB 5 centimeters long
Step 2. Set the compass to the length of the side of the hexagon
The trick, put one end of the compass to one end of the line, and open the compass so that the tip of the pencil touches the other end of the line.
Step 3. Draw the midpoint of the hexagon
To do this, place the tip of the compass needle at the first end of the line, and draw a small semicircle through the top of the line. Then, place the tip of the compass needle on the other end of the line, and draw another half circle that intersects the first half circle. The point of intersection of these two semicircles is the midpoint of the hexagon.
Do not change the term width
Step 4. Draw a circle around the center point
Keep the compass width the same, and place the tip of the compass needle into the center of the hexagon. Then, turn the compass to draw a circle.
Step 5. Mark the six corners of the hexagon
The first two corners have been marked by the points of the two ends of the line that was first drawn. Place the tip of the compass needle at the first end of the line. Then, mark a point on the edge of the circle using the tip of a compass pencil. This is the third angle. Move the tip of the compass needle to this new angle. Continue this process until you have marked all six corners of the hexagon.
Be careful not to change the width of the compass
Step 6. Draw a line connecting each corner
To tidy up the hexagon, erase circles and other auxiliary markings. Don't delete the midpoint of the hexagon because you need it to divide the shape into three equal parts.
