Exercise 4 Page 623

As we can see, △ DCE is a right triangle, ∠ DCE is a right angle, and CF is the altitude to the hypotenuse. Having verified the necessary conditions, we can write the similarity statement. △ DCE ~ △ CFE △ DCE ~ △ DFC △ CFE ~ △ DFC Finally, we can combine these three similarity statements into one. Note that there are many possible correct combinations for writing this statement — the triangle names could be written in any order and the names of the triangle could be written in any order. △ DCE ~ △ CFE ~ △ DFC