Question

9 fill in the blank 1 point congruent: choose your answer... congruent r choose your answer... no yes

Explanation:

Step1: Identify corresponding sides and angles

In right - angled triangles \( \triangle ABC\) and \( \triangle FDE\), we know that \( \angle A=\angle D = 90^{\circ}\). Let the side with one mark in \( \triangle ABC\) be \(BC\) and the side with one mark in \( \triangle FDE\) be \(FE\), and the side with two marks in \( \triangle ABC\) be \(AC\) and the side with two marks in \( \triangle FDE\) be \(DE\).

Step2: Apply the Hypotenuse - Leg (HL) congruence criterion

For right - angled triangles, if the hypotenuse and one leg of one right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two right - angled triangles are congruent. Here, assume \(BC = FE\) (hypotenuse) and \(AC=DE\) (leg).

Answer:

yes