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Polygon from a known side 60 0 45 0 4 sides 6 sides Step 1. Draw a line equal to the length of one side. Step 2. Bisect the line and draw a perpendicular.

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Presentation on theme: "Polygon from a known side 60 0 45 0 4 sides 6 sides Step 1. Draw a line equal to the length of one side. Step 2. Bisect the line and draw a perpendicular."— Presentation transcript:

1 Polygon from a known side 60 0 45 0 4 sides 6 sides Step 1. Draw a line equal to the length of one side. Step 2. Bisect the line and draw a perpendicular Step 3. From one side of the line draw a 60 0 line Step 4. From the other side of the line draw a 45 0 line. The 45 0 line will give you the centre for a circle big enough for a square The 60 0 line will give you the centre for a circle big enough for a hexagon (6 sides)

2 4 sides 6 sides 5 sides If you bisect the distance between 4 sides and 6 sides you find the centre of a circle for a pentagon (5 sided polygon) Step 5. Use a compass to bisect the distance. Open the compass to more than the distance and mark an arc from point 4. Step 6. Mark an arc from point 6. Step 7. Bisect the distance and mark the centre of the circle for the pentagon. Polygon from a known side

3 4 sides 6 sides 5 sides Having set out the centre of the circle, use the following steps to set out the pentagon. Step 1. Set the compass to the circle radius and draw the circle. Step 2. Set the compass to the length of the side and step it off around the circle. Step 3. Joins up the marks to form the pentagon. Polygon from a known side

4 4 sides 6 sides 5 sides The same principles apply to the hexagon Step 1. Set the compass to the circle radius and draw the circle. Step 2. Set the compass to the length of the side and step it off around the circle. Step 3. Joins up the marks to form the hexagon. Polygon from a known side

5 4 sides 6 sides 5 sides 7 sides 8 sides 9 sides To set the circle centre for other polygons is easy now. Step 1. Set the compass to the distance between 5 & 6. Step 2. Mark of the distance from 6 along the perpendicular. Polygon from a known side

6 4 sides 6 sides 5 sides 7 sides 8 sides 9 sides Step 1. Set the compass to the circle radius and draw the circle. Step 2. Set the compass to the length of the side and step it off around the circle. Step 3. Joins up the marks to form the heptagon. Now for a heptagon (7 Sides) Polygon from a known side


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