Question

complete the triangle congruence statement in order to prove the given statement
what postulate or theorem would you use (sss, sas, hl, aas or asa)?
given
∠a≅∠d
diagram
congruence statement
△abc≅△
method

Explanation:

Step1: Identify corresponding vertices

From the given \( \angle A\cong\angle D\), and looking at the diagram, we can see that \(BC = EF\) (marked as equal) and \( \angle B=\angle E\) (right angles).

Step2: Determine the congruent triangle

Since \( \angle A\cong\angle D\), \(BC = EF\), and \( \angle B=\angle E\), by the AAS (Angle - Angle - Side) congruence criterion. The corresponding triangle to \( \triangle ABC\) is \( \triangle DEF\).

Answer:

\(\triangle ABC\cong\triangle DEF\) using the AAS (Angle - Angle - Side) postulate.