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Q: Is ABC equal to DEF if so what is the postulate that applies?
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Is ABC trangle an trangle DEF If so name which similarity postulate or theorem applies.?

None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.


What are congruence theorems and postulates?

If the sides AB, BC and CA of triangle ABC correspond to the sides DE, EF and FD of triangle DEF, then the two triangles are congruent if:AB = DE, BC = EF and CA = FD (SSS)AB = DE, BC = EF and angle ABC = angle DEF (SAS)AB = DE, angle ABC = angle DEF, angle BCA = angle EFD (ASA)If the triangles are right angled at A and D so that BC and EF are hypotenuses, then the triangles are congruent ifBC = EF and AB = DE (RHS)BC = EF and angle ABC = angle DEF (RHA).


Given that ABC DEF what is the measure of E?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. There is, therefore, no visible symbol between ABC and DEF (<, =, >, ≠ etc). Furthermore, there is no information as to whether ABC is an angle, a triangle, an arc.


What else would need to be congruent to show that abc def by aas?

Nothing else, the angle-angle-side is sufficient to show the triangles are congruent. With two corresponding angles are equal, the third angles in the triangles by definition (the sum of the three angles in a triangle is 180o) must be equal making the triangles similar. If a corresponding pair of sides are also equal, then the other two corresponding pairs of sides will be equal.


What is the symbol that indicates two triangles are similar?

Three parallel vertical lines. A bit like triangle ABC | triangle DEF, except that the lines are closer together.