Question 1152603
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See the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Triangles/Congruence-tests-for-triangles.lesson>Congruence tests for triangles</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Triangles/Problems-on-congruence-tests-for-triangles.lesson>Problems on congruence tests for triangles</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/geometry/Problems-on-congruence-tests-for-triangles-2.lesson>Problems on congruence tests for triangles-2</A>

in this site to learn about congruence tests for triangles and assosiate problems.



Regarding the terminology in your post, notice that this phrase "The lengths of DE and OM are congruent" is not correct.


The correct way to express it is to say "the lengths are EQUAL".


Or to say "the segments are congruent".


But not "the lengths are congruent" - this form is NEVER used.



Happy learning (!)