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  1. A simple polygon that is not convex is called concave, [1] non-convex [2] or reentrant. [3] A concave polygon will always have at least one reflex interior angle —that is, an angle with a measure that is between 180 degrees and 360 degrees exclusive.

  2. www.math.brown.edu › ~banchoff › midpointNon-Convex Quadrilaterals

    Non-Convex Quadrilaterals. In the previous section, we demonstrated that for any convex quadrilateral, the midpoint polygon would be a parallelogram with area 1/2 that of the original quadrilateral. We now consider non-convex quadrilaterals, such as the one pictured below. Figure 2. Midpoint polygon to a non-convex quadrilateral.

  3. 7 lis 2023 · A concave quadrilateral is a quadrilateral having at least one of its interior angles measuring more than 180°. One of the diagonals of a concave quadrilateral lies outside the closed figure. Any quadrilateral-shape that is not convex is thus a concave quadrilateral.

  4. 12 gru 2021 · Quadrilaterals are either simple (not self-intersecting), or complex (self-intersecting, or crossed). Simple quadrilaterals are either convex or concave. The interior angles of a simple (and planar) quadrilateral ABCD add up to 360 degrees of arc, that is.

  5. 10 paź 2024 · (If the points do not lie in a plane, the quadrilateral is called a skew quadrilateral.) There are three topological types of quadrilaterals (Wenninger 1983, p. 50): convex quadrilaterals (left figure), concave quadrilaterals (middle figure), and crossed quadrilaterals (or butterflies, or...

  6. 25 sty 2013 · How to prove that each non-convex polygon with no self-intersecting parts, has at least one interior angle which size is less then $180$ degrees.

  7. A quadrilateral is called a concave quadrilateral if at least one diagonal, i.e. the line segment joining the vertices is not a part of the same region of the quadrilateral. Convex quadrilaterals: In convex quadrilaterals, each interior angle is less than 180°.

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