. Reason a tively. . Construct viable arguments and critique the reasoning of others. Theorems of Triangle Proportionality > Consider the diagram. It shows a dilation of DE to BC, using point A as the center of dilation. m 1 How do you know that each relationship exists? A @ ED |/ CB B 4- - - b AC AB AE AD hokevloe 2 Patrick says that no matter where he draws a line intersecting both THINK ABOUT... sides AC and AB, as long as the line is parallel to CB, it will create similar triangles. Is Patrick correct? Test Patrick's conjecture and A diagram showing explain your reasoning. the dilation of a line segment looks a lot like a triangle. 108 Suppose you draw PQ, parallel to CB, intersecting AC at point P and intersecting AB at point Q. What can you say about AP, AC, AQ, and AB