question archive In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and  ≅ 

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and  ≅ 

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In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and  ≅ . Is this information sufficient to prove triangles DEF and OPQ congruent through SAS? Explain your answer.

 

pur-new-sol

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Since we have been given the information about only angles of triangles and no information regarding sides of triangle is given.

Therefore, it is not possible to prove the triangles to be congruent through SAS criteria.

 

For SAS criteria One side, then the angle between the first side and the next side should be equal. But no information egarding sides are given.

So it is not possible.