Question
In two triangles ABC and DEF, it is given that $\angle\text{A}=\angle\text{D},\angle\text{B}=\angle\text{E}$ and $\angle\text{C}=\angle\text{F},$ Are the two triangles necessarily congruent?

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Given: line AB || line CD and line EF intersects them at P and Q respectively.
line EF ⊥ line AB
To prove: line EF ⊥ line CD