![]() Lots of polygons will have no parallel or perpendicular sides, but some will have some.Īs we mentioned before, right triangles have perpendicular sides, rectangles have both perpendicular and parallel sides, but other quadrilaterals might not. Sample Problemĭo non-regular polygons have parallel or perpendicular sides? Parallel lines are equally popular, since every regular polygon with an even number of sides is made up of sets of parallel line segments. Rectangles, right trapezoids, and loads of other polygons have perpendicular line segments (including right triangles, which are special enough to have an entire chapter named after them). Many polygons have parallel and perpendicular sides. Squares are made up of two sets of parallel line segments, and their four 90° angles mean that those segments also happen to be perpendicular to one another. But what do they have to do with parallel and perpendicular lines? Parallel and Perpendicular Lines in Polygonsįine, polygons are everywhere.You already know this stuff, so we won't bore you with it. Triangles have 3 sides, quadrilaterals have 4, pentagons have 5, hexagons have 6, and so on. ![]() If we need to get more specific with describing polygons, we usually do so by the number of sides they have. Seriously, it's illegal not to, and traffic school ain't all it's cracked up to be. Don't forget to stop by and say hello when you pass it. We've seen regular polygons all our lives, from that triangle in music class, to the friendly red octagon around the corner. For any shape that has more than 4 sides, just put "regular" in front of the name (regular pentagon, regular hexagon, etc.) to indicate that it has routine bowel movements. Regular polygons include shapes like equilateral triangles and squares. If polygons have sides that are all equal in length, angles that are all equal in measure, and daily trips to the loo, we call them regular. Of course, that last one isn't specific to mathematicians. There are two things mathematicians simply can't stand: uncertainty and waiting in line at the DMV. Can you figure out why?Įven splitting up shapes into categories like "polygon" and "non-polygon" leaves a lot of room for uncertainty. Triangles, squares, rectangles, pentagons, and other more complicated shapes like the ones below are all examples of polygons. In order to be a polygon, a shape must be: While a circle or a ellipse can informally be considered a polygon with infinitely many sides, it technically is not a polygon.A polygon is a closed two-dimensional shape that's made up of only straight line segments. A circle is a special ellipse in which the two focal points overlap. The two fixed points are called the focal points. EllipseĪn ellipse is a 2D curve in which all of the points on the curve lie the same total distance from two fixed points. ![]() The fixed point is called the center of the circle, and the distance from the center to any point on the circle is called the radius. ![]() The irregular pentagon above has sides and interior angles that are not all congruent.Ī line containing any side of the polygon does not intersect the interior of a convex polygon.Ī least one line containing a side of a concave polygon intersects its interior.Ī circle is a 2D curve in which all of the points on the curve lie the same distance from a fixed point. The regular pentagon above has five congruent sides and five congruent interior angles. Polygons classified by shape Regular polygon Polygons can be further classified based on their characteristics. PolygonsĪ polygon is a closed 2D figure formed by three or more non- collinear line segments, called sides. The following are some important 2D shapes. Closed 2D shapesĬlosed 2D shapes are studied extensively in geometry. Comparatively, an open shape means at least one endpoint of one side is not connected to the rest. A closed shape means its sides are connected from end to end with no break in the connection. Home / geometry / plane / 2d shapes 2D shapesĪ 2D shape is a shape that lies in a plane and only has a length and a width, but no height or depth.ĢD shapes can be classified as closed shapes and open shapes. ![]()
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