Final answer:
The question pertains to shapes that contain perpendicular lines. Examples of such shapes include squares, rectangles, right triangles in two dimensions, and cubes and rectangular prisms in three dimensions. In geometry, perpendicular lines are those that meet at a 90-degree angle.
Step-by-step explanation:
The question is asking about shapes that always have perpendicular lines. In geometry, a perpendicular line is one that meets another at an angle of 90 degrees. Talking about shapes, a classic example would be a square or a rectangle, where each corner forms a ninety-degree angle, making the adjacent sides perpendicular to each other. Another shape with perpendicular lines is a right triangle, where one angle is exactly 90 degrees, thus creating a perpendicular relationship between two sides.
In three-dimensional geometry, a cube has perpendicular edges at every corner and each face meets the adjacent faces at 90 degrees. Similarly, a rectangular prism also contains perpendicular lines because all angles between adjacent faces are 90 degrees.
It's important to distinguish between the concept of orthogonal lines, which are used in representations of three-dimensional objects on a two-dimensional plane, such as in the technique of linear perspective, and actual perpendicular lines that form 90-degree angles within geometrical shapes. Orthogonal lines in linear perspective are meant to represent parallel lines that appear to converge in the distance. However, in actual geometrical shapes, perpendicular lines are physical lines that intersect at right angles.
Focusing on two-dimensional planes, shapes like squares and rectangles have sides that meet at right angles and are therefore perpendicular. This contrasts with forms such as parallelograms or rhombuses where the angles between adjacent sides are not necessarily right angles and thus not all lines are perpendicular.