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How to Draw a Pentagon Using a Compass and Ruler, Exercises of Geometry

1 – The first step in making a pentagon is to make a circle, with a diameter the size of the pentagon, with your compass.

Typology: Exercises

2021/2022

Uploaded on 09/27/2022

ammla
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How to Draw a Pentagon Using a Compass and Ruler
1 The first step in making a pentagon is to
make a circle, with a diameter the size of
the pentagon, with your compass.
2 Next you need to find the center lines,
both horizontal and vertical.
a Using your compass, draw an arc
with the center on point A and the
diameter of point A to B.
b - Using your compass, draw another
arc centered on point B and the
diameter of point B to A.
c Draw a line between the arc
intersections C & D.
d - Using your compass, draw an arc
with the centered on point E and the
diameter of point E to F.
e - Using your compass, draw another
arc with the centered on point F and the
diameter of point E to F.
f Draw a line between the arc
intersections G & H.
G Erase the arcs and trim the center
lines to the circle.
The intersection of these two lines is the center of
the circle, point I.
I
pf3

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How to Draw a Pentagon Using a Compass and Ruler

1 – The first step in making a pentagon is to make a circle, with a diameter the size of the pentagon, with your compass.

2 – Next you need to find the center lines, both horizontal and vertical.

a – Using your compass, draw an arc with the center on point A and the diameter of point A to B.

b - Using your compass, draw another arc centered on point B and the diameter of point B to A.

c – Draw a line between the arc intersections C & D.

d - Using your compass, draw an arc with the centered on point E and the diameter of point E to F.

e - Using your compass, draw another arc with the centered on point F and the diameter of point E to F.

f – Draw a line between the arc intersections G & H.

G – Erase the arcs and trim the center lines to the circle.

The intersection of these two lines is the center of the circle, point I.

I

3 – Find the center of line I – J

a - Draw an arc from point J using line I – J as the radius

b – Draw line K – L , using intersections K & L

4 – draw a circle using point M and line I – M as the radius. Remove the arc.

5 – draw a line starting at point B thru Point M to circle.

6 – draw an arc, using point B as center and line B – N as radius,thru the outer circle.

7 – draw a line from point P to Point A and a line from point A to point O. These lines are the first two sides of the pentagon.

M

N

P