proof use the diagram to prove that $\triangle def$ is equilateral. an equilateral triangle a b c is drawn. within the triangle are three triangles, a d b, a c f, and b e c. line segment a f intersects line segment c e at point f. line segment b d intersect the line segment a f at point d. line segment c e intersect the line segment b d at e. given $\triangle abc$ is equilateral, $\angle cad\cong\angle abe\cong\angle bcf$ prove $\triangle def$ is equilateral. put responses in the correct input to answer the question. select a response, navigate to the desired input and insert the response. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can also be moved by dragging with a mouse. statements reasons 1. $\triangle abc$ is equilateral, $\angle cad\cong\angle abe\cong\angle bcf$ 1. given 2. $\triangle abc$ is equiangular. 2. response area 3. $\angle abc\cong\angle bca\ \cong\angle bac$ 3. definition of equiangular triangle 4. $m\angle cad