Question

which diagram shows how to arrange the triangles to form a rectangle?

Explanation:

Step1: Recall the properties of a rectangle

A rectangle has four right angles and opposite sides equal.

Step2: Analyze the triangle

The given triangle is a right - angled triangle. When two right - angled triangles are combined, if we place them such that their hypotenuses are opposite and the right - angled vertices are adjacent, we can form a rectangle.
Looking at the options:

• The first option forms a larger triangle.
• The second option forms a non - rectangular quadrilateral.
• The third option forms a non - rectangular quadrilateral.
• The fourth option: Place the two right - angled triangles such that their hypotenuses are opposite. The right angles of the triangles form the four right angles of the rectangle.

Answer:

The fourth diagram.