[b][color=#0000ff]Here's another cool property about 6 of the points of any triangle's 9-Point Circle![/color][/b] [br][br]For previous 9-Point Circle illustrations and properties, refer to [br][url=https://www.geogebra.org/m/pxc84bGg]9-Point Circle Action (Part 1)[/url][br][url=https://www.geogebra.org/m/EHpRBpFE]9-Point Circle Action (Part 2)[/url][br][url=https://www.geogebra.org/m/QK5mWnmE]9-Point Circle Action (Part 3A)[/url][br][url=https://www.geogebra.org/m/RCPZe6AQ]9-Point Circle Action (Part 3B)[/url][br][url=https://www.geogebra.org/m/vxBFvGsE]9-Point Circle Action (Part 4)[/url][br]

[b]Questions:[/b][br][br]1) Which 6 points of a triangle's 9-point circle serve as vertices of these rectangles? [br]2) How can you formally prove what this applet informally illustrates?