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

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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 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)

Transcript of Polygon from a known side 60 0 45 0 4 sides 6 sides Step 1. Draw a line equal to the length of one...

Page 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.

Polygon from a known side

600 450

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 600 line

Step 4. From the other side of the line draw a 450 line.

The 450 line will give you the centre for a circle big enough for a square

The 600 line will give you the centre for a circle big enough for a hexagon (6 sides)

Page 2: 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.

Polygon from a known side

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.

Page 3: 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.

4 sides

6 sides

5 sides

Polygon from a known sideHaving 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.

Page 4: 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.

Polygon from a known side

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.

Page 5: 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.

4 sides

6 sides

5 sides

Polygon from a known side

7 sides

8 sides

9 sides

To set the circle centre for other polygon 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.

Page 6: 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.

4 sides

6 sides

5 sides

Polygon from a known side

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)


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