Question

If \[\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}\], then:

Options

• △ ABC ∼ △ EDF

• △ ABC ∼ △ DEF

• △ ABC ∼ △ FDE

• none of these

Answer 1

△ ABC ∼ △ DEF

Explanation:

In △ ABC and △ DEF,

\[\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}\]

From above equation, we can conclude

AB corresponds to DE, BC corresponds to EF and AC corresponds to DF.

∴ △ ABC ∼ △ DEF (By SSS postulates)