Convex Vs Concave Math

When i took calculus we didn t use concave and convex rather we and the ap exam used concave up and concave down i still use these as a grad student.

Convex vs concave math. While convex means to bend or protrude outwards concave is the opposite and means to bend inwards. Like many pairs of antonyms that are relatively rare and similar in sound these two adjectives are easy to confuse. So no interior angle is greater than 180. A concave polygon has at least one angle greater than 180 degrees and a convex polygon is made of angles each less than or equal to 180 degrees.

Otherwise the polygon is concave. The difference between convex and concave polygons lies in the measures of their angles. Convex is the opposite of concave. Concave and convex are opposite terms used to describe the shapes of mirrors lenses graphs or slopes.

In simple terms a convex function refers to a function that is in the shape of a cup. In general an object is concave if it s hollow and slopes downward like an empty pool. In a convex polygon all points vertices on the edge of the shape point outwards. Convex functions play an important role in many areas of mathematics.

In geometry it means a polygon that has one or more angle that is over 180 degrees. Concave is an adjective that refers to a thing that has an inward indentation. Convex and concave are two words that describe a line or shape often in mathematics science or in relation to eyeglasses and mirrors. Some of the worksheets for this concept are convex concave polygons 1 unit notes introduction to polygons concaveconvex s1 identifying shapes pre algebra name 1 1 1 h d i i in every problem draw a ray i o f h d o o 6 introduction to polygons 04 algebraic compute the value to the nearest.

An object is convex if it s raised or bulging upward like a dome. A convex surface curves outward. I think it just depends on how you learn. Your writing at its best.

For a polygon to be convex all of its interior angles must be less than 180 degrees. Concave describes shapes that curve inward like an hourglass. Displaystyle cap. One can also remember that concave functions look like the opening of a cave.

A convex polygon and a concave polygon are 2 different types of polygons. Every polygon is either convex or concave. If you stand in front of a concave mirror your reflection will look taller. Convex and concave displaying top 8 worksheets found for this concept.

A concave surface curves inward. Concave and convex are also geometrical terms. The inside of the girl s lenses for her glasses is concave. Therefore the same disk from the earlier example would be concave from one direction and convex from the other.

Convex describes shapes that curve outward like a football or a rugby ball. However if at least one interior angle of a polygon is greater than 180 and as such pointing inwards then the shape is a concave polygon.