6. TBQ - Check if the given statement is true.

Triangle \(ABC\) with vertices \(A (–6, 0)\), \(B (6, 0)\) and \(C (0,6)\) is similar to triangle \(DEF\) with vertices \(D (–12, 0)\), \(E (12, 0)\) and \(F (0,12)\).

 

 

Length of \(AB\) \(=\) $i$

 

Length of \(BC\) \(=\) $i\sqrt{i}$

 

Length of \(CA\) \(=\) $i\sqrt{i}$

 

Length of \(DE\) \(=\) $i$

 

Length of \(EF\) \(=\) $i\sqrt{i}$

 

Length of \(FD\) \(=\) $i\sqrt{i}$

 

\(\frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD} =\) $\frac{i}{i}$

 

Thus, the ratio of the corresponding sides of a two triangle are unequalequal.