<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Let  $XYZ$  be a  right triangle of  area  $1$  m $^2$  . Consider the triangle  $X'Y'Z'$  such that  $X'$  is the symmetric of X wrt side  $YZ$ ,  $Y'$  is the symmetric of  $Y$  wrt side  $XZ$  and  $Z' $  is the symmetric  of  $Z$   wrt side  $XY$ . Calculate the area of the triangle  $X'Y'Z'$ . Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
3
Let  $XYZ$  be a  right triangle of  area  $1$  m $^2$  . Consider the triangle  $X'Y'Z'$  such that  $X'$  is the symmetric of X wrt side  $YZ$ ,  $Y'$  is the symmetric of  $Y$  wrt side  $XZ$  and  $Z' $  is the symmetric  of  $Z$   wrt side  $XY$ . Calculate the area of the triangle  $X'Y'Z'$ .
test