MathDB

2016.4

Part of Indonesia Regional MO OSP SMA - geometry

Problems(1)

Geometry proving parallel

Source: Indonesian Province Olympiad 2016 P4

11/22/2017
Let PAPA and PBPB be the tangent of a circle ω\omega from a point PP outside the circle. Let MM be any point on APAP and NN is the midpoint of segment ABAB. MNMN cuts ω\omega at CC such that NN is between MM and CC. Suppose PCPC cuts ω\omega at DD and NDND cuts PBPB at QQ. Prove MQMQ is parallel to ABAB.
geometry