B

1
4. Construct the midpoints of BR, CR and AR and
label the points P7, P8 and P9 so that P7 is the
midpoint of BR, P8 is the midpoint of CR, and P9
is the midpoint of AR.
1. Construct a large scalene triangle. Label it
ABC.
C
2. Construct the altitude to each side of the
triangle and label the points of intersection
with the sides P1,P2 and P3. Label the
orthocenter R
5. Construct the line segments connecting point
P4 to P8, point P5 to P9, and point P6 to P7.
They should all intersect in one point. Label
that point O.
P8
P2
That is Nine Point Circle!!!
P5
P6
3. Construct the midpoint of each side of the
triangle. Label the points P4, P5 and P6 so that
P4 is the midpoint of AB and P5 is the midpoint
of BC.
P3
O
R
P7
P9
B
A
P1
P4
6. Construct a circle with radius OP1 and center
at point O. It should pass through all nine
points P1,2,3,4,5,6,7,8,9.