## Similar TrianglesExplain why (prove that) if lines AB, BC and CA are rotated through the same angle respectively around B, C and A as shown, then DEF is similar to ABC. (1) Drag points A, B or C to change triangle ABC, or L to change the angle of rotation. (2) Formulate a converse and investigate. If true, explain why (prove) or if false, give a counter-example. (3) Investigate what happens if the same construction as in (1) is carried out with a quadrilateral, as well as consider its converse.
(Think about it before going to Quad) Created by Michael de Villiers, 17 Nov 2007 with Cinderella |