Question

Can a shape have both parallel and perpendicular lines?

Answer 1

Hint: Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet. and parallel lines become perpendicular when one line is rotated 90 degrees. That is, perpendicular lines intersect each other. When we talk about shapes, we can say a polygon is a shape and is a closed two-dimensional shape that's made up of only straight-line segments. So let us discuss whether it contains both parallel and perpendicular lines or not.

Complete step by step answer:
The answer is “Yes”. There are various geometrical shapes consisting of parallel and perpendicular lines.
Not only geometrical shape but also in alphabets of English language we can see that most of the letters will have both parallel and perpendicular lines. For example, the letter F, is composed of three-line segments, two of which are parallel to each other and both of which are perpendicular to the third.
In geometry, many polygons have parallel and perpendicular sides. Rectangles, right trapezoids, and loads of other polygons have perpendicular line segments Parallel lines are equally popular, since every regular polygon with an even number of sides is made up of sets of parallel line segments.
We can also note that right triangles have perpendicular sides, rectangles have both perpendicular and parallel sides.
Therefore, from the above conversation we can say that there exists shapes which have both parallel and perpendicular lines.

Note: We can note that not all the quadrilaterals have both parallel and perpendicular lines. Some quadrilaterals might not have parallel and perpendicular lines. A regular pentagon has no parallel or perpendicular sides, but a non-regular pentagon might have parallel and perpendicular sides. It all depends on the polygon.