Question

4 fill in the blank 1 point congruent: yes congruent rule: choose your answer...

Explanation:

Step1: Analyze the figure

The figure shows two right - angled triangles formed from a rectangle. The rectangle has two pairs of equal sides (opposite sides of a rectangle are equal). Let the rectangle have length \(l\) and width \(w\). The two right - angled triangles have legs of lengths \(l\) and \(w\) and a common hypotenuse.

Step2: Apply the congruence rule

For right - angled triangles, if the hypotenuse and one leg are equal (HL - Hypotenuse - Leg congruence rule). In a rectangle, the two right - angled triangles formed by the diagonal have the hypotenuse (the diagonal of the rectangle) common. Also, since opposite sides of a rectangle are equal, the legs of the two right - angled triangles are equal.

Answer:

HL (Hypotenuse - Leg)