Question

congruent: yes congruent rule: choose your answer...

Explanation:

Step1: Identify the right - angled triangles

We have two right - angled triangles, \(\triangle ABC\) and \(\triangle FDE\). In \(\triangle ABC\), \(\angle A = 90^{\circ}\), and in \(\triangle FDE\), \(\angle D=90^{\circ}\).

Step2: Analyze the sides

Let the equal - marked sides be \(BC = FE\) (one pair of equal sides) and \(AC = FD\) (another pair of equal sides).

Step3: Apply the congruence rule

For right - angled triangles, if the hypotenuse and one leg of a right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two right - angled triangles are congruent. This is the Hypotenuse - Leg (HL) congruence rule.

Answer:

HL (Hypotenuse - Leg) congruence rule.