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GeoGebraGeoGebra Klaslokaal

Similar Triangles?

You can move points A, B, and C. Point D slides along the edge AB. Line DF is parallel to AC Line DE is parallel to BC
Are the blue and yellow triangles similar? How could you convince someone? Are the blue and yellow triangles ever congruent? When? When is the white area the same as the sum of the blue and yellow areas? Why?