Question

ashley says that the $\triangle cde\cong\triangle fgh$ by the hl postulate.
ashley says that the $\triangle cde\cong\triangle fgh$ by the hl postulate. she is right that they are congruent, but theorem is what makes these triangles congruent.

Explanation:

Step1: Recall HL and SAS postulates

HL (Hypotenuse - Leg) postulate applies to right - angled triangles where the hypotenuse and one leg are equal. SAS (Side - Angle - Side) postulate applies when two sides and the included angle are equal.

Step2: Analyze the triangles

In \(\triangle CDE\) and \(\triangle FGH\), we have two sides equal (marked with equal signs) and the included right - angle (\(90^{\circ}\)).

Answer:

SAS