document.write( "Question 499182: Which of the following conditions cannot be used for checking that two triangle are congruent?
\n" ); document.write( "(1) two corresponding angles and corresponding sides are equal
\n" ); document.write( "(2) two corresponding sides and the corresponding included angles are equal
\n" ); document.write( "(3) three corresponding angles are equal
\n" ); document.write( "(4) three corresponding sides are equal \n" ); document.write( "
Algebra.Com's Answer #337545 by Theo(13342)\"\" \"About 
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answer is (3)
\n" ); document.write( "3 angles are congruent proves that the triangles are similar.
\n" ); document.write( "they are not necessarily congruent.
\n" ); document.write( "their corresponding sides are in proportion to a common ratio.
\n" ); document.write( "only if the common ratio is 1:1 will they be congruent.\r
\n" ); document.write( "\n" ); document.write( "example:
\n" ); document.write( "triangle 1 and triangle 2 have equal angles all around.
\n" ); document.write( "their corresponding sides are in the common ratio 1:2
\n" ); document.write( "this means that the lengths of the sides of triangle 2 are 2 times the lengths of the corresponding sides of triangle 1.
\n" ); document.write( "the triangle are similar.
\n" ); document.write( "their angles are equal and their sides are in proportion.
\n" ); document.write( "if the common ratio was 1:1 then the sides would be congruent and the triangles would be congruent.\r
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