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Which congruence statement does NOT necessarily describe the triangles shown if ...
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The congruence statement of the two triangles gives the correspondence of the vertices.
D has to be paired with F. E has to be paired with G. F has to be paired with H.
Look at the options.
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In the first one Triangle EDF is congruent to Triangle GFH. In that case point E is paired with G (lst to lst). D is paired with F (second to second). F is paired with H (third to third).
That is the same pairing as was given in the problem. So, the first option is not the answer.
In the second option, to what point in the second triangle is the point F in the first triangle paired?
Take a look and then take a guess.
f
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