1.

Consider the two similar triangles ABC and DEF. Which of the following is correct about the ratio of the area of the triangle ABC and DEF?

A. \(\left( {\frac{{AB}}{{DE}}} \right) = \left( {\frac{{EF}}{{BC}}} \right) = \left( {\frac{{AC}}{{DF}}} \right)\)
B. \({\left( {\frac{{AB}}{{DE}}} \right)^2} = {\left( {\frac{{BC}}{{EF}}} \right)^2} = {\left( {\frac{{AC}}{{DF}}} \right)^2}\)
C. \(\left( {\frac{{AB}}{{DE}}} \right) = \left( {\frac{{BC}}{{EF}}} \right) = \left( {\frac{{DF}}{{AC}}} \right)\)
D. None of these
Answer» C. \(\left( {\frac{{AB}}{{DE}}} \right) = \left( {\frac{{BC}}{{EF}}} \right) = \left( {\frac{{DF}}{{AC}}} \right)\)


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