2. Copy a Segment
1) Since a segment is a part of a
line, we’ll start by drawing a
ray that is somewhat longer
A B
than our intended segment,
and call the starting point A’.
A’
3. Copy a Segment
A B
2) Place the Needle end of the
compass on point A, and
adjust its length to match the
distance AB.
A’
4. Copy a Segment
A B
3) Without changing the width of
the compass, put the Needle A’ B’
end of the compass on point
A’, and draw the arc to cross
your ray. Label the point of
intersection B’. You’ve just
copied AB to A’B’
5. Copy An Angle
C
1) Since an angle is two rays with
a common vertex we’ll start by
drawing a ray and call ray
B’A’.
B
A
B’ A’
6. Copy An Angle
C
2) Place the Needle end of the
B
compass on point B, and
make an arc that crosses over A
from BA to BC.
B’ A’
7. Copy An Angle
C
B
A
3) Without changing the width of
the compass, put the Needle
end of the compass on point
B’, and draw the arc crossing
B’A’ long enough to more than
cross where B’C’ will be. A’
B’
8. Copy An Angle
4) Now go back to the original C
angle, and put your needle on
the point of intersection of AB
and the arc. Measure the
distance along the arc to the
ray BC.
B
A
B’ A’
9. Copy An Angle
C
5) Without changing the width of B
the compass, put your needle A
on the point of intersection of
the arc and B’A’. Make an arc
that crosses the first arc you
drew on this new angle.
B’ A’
10. Copy An Angle
C
5) Without changing the width of B
the compass, put your needle A
on the point of intersection of
the arc and B’A’. Make an arc
that crosses the first arc you
drew on this new angle.
B’ A’
11. Copy An Angle
C
B
A
C’
6) Draw a ray from B’ thru the
point of intersection of the two
arcs. Label a point on the ray
as C’. You’ve copied the angle A’
ABC as A’B’C’. B’
12. Bisecting a Segment
1) Place the needle of your compass on A.
Make its width more than half-way to B,
and make a half-circle.
A B
13. Bisecting a Segment
2) Without changing the width of the
compass, put the needle of your
compass on B. Make a half-circle that
overlaps the first one. A B
14. Bisecting a Segment
A B
3) Draw a line that connects the two points
of intersection of the two half-circles.
That new line is both a bisector of the
segment AB, and is perpendicular to
AB.
15. Bisecting an Angle
C
1) Place the needle of your compass on B.
Draw an arc that crosses both BA and
BC.
B
A
16. Bisecting an Angle
C
1) Place the needle of your compass on B.
Draw an arc that crosses both BA and
BC.
B
A
17. Bisecting an Angle
C
E
2) Label the intersection of the arc and BA
“D”, and the intersection of the arc and
BC “E”.
B
A
D
18. Bisecting an Angle
C
E
3) Place the needle of the compass on D,
and set the width to match more than half B
the distance to E. Make a half-circle. A
D
19. Bisecting an Angle
C
E
3) Place the needle of the compass on D,
and set the width to match more than half B
the distance to E. Make a half-circle. A
D
20. Bisecting an Angle
C
E
B
A
D
4) Leave the compass width as it is. Place
the needle of the compass on E, and
make a half-circle overlapping the
previous half-circle.
21. Bisecting an Angle
C
E
B
A
D
5) Draw a line that connects the two points
of intersection of the two half-circles.
That new line is both a bisector of the
angle ABC.