The given statement If two lines are perpendicular, then they intersect at right angles is correct.
When two lines are perpendicular, they intersect at right angles, forming a 90-degree angle between them.
This geometric relationship signifies that the slopes of the lines are negative reciprocals of each other. Perpendicular lines play a fundamental role in geometry and trigonometry, as they define right angles crucial for understanding shapes and angles in various mathematical contexts.
The perpendicular intersection is a key concept in Euclidean geometry, providing a basis for constructing squares, rectangles, and other geometric figures. This property is extensively applied in architectural design, engineering, and diverse mathematical disciplines where precise angles and relationships between lines are essential.