Two triangles are similar if and only if they have the three angles [b]congruently arranged[/b]. Also, the equivalent sides [b]must be proportional. [/b]
Change the positions of points A, B, C, A', B' or C'. What do you see regarding the value of k?
Change the positions of points A, B, C, A ', B' or C 'so that k is equal to 1. What can you notice about the triangles?
[br][br]Find a reason for the use of theorem in the previous demonstration: "If a line divides two sides of a triangle[br]and determines segments proportional to those two sides, then it is parallel to the third side." Use the following figure as reference.[br][br][img]https://cdn.geogebra.org/material/qmJyXBAamZbl9s7GoEh5QSsjwL5q4S7V/material-Pxxtb5RS.png[/img]