In-the-square-PQRS-K-is-the-midpoint-of-PQ-L-is-the-midpoint-of-QR-M-is-the-midpoint-RS-N-is-the-midpoint-of-SP-and-O-is-the-midpoint-of-KM-A-line-segment-is-drawn-from-each-pair-of-points-from-

Question Number 110523 by Aina Samuel Temidayo last updated on 29/Aug/20

In the square PQRS, K is the

midpoint of PQ, L is the midpoint of

QR, M is the midpoint RS, N is the

midpoint of SP and O is the midpoint

of KM . A line segment is drawn from

each pair of points from

(K, L, M, N, O, P, Q, R, S) . These line

segments create points of

intersections not contained in

(K, L, M, N, O, P, Q, R, S) . How many

distinct such points are there ?