These are two-dimensional shapes that exist on a flat surface. They have length and width but no depth.
I. Closed Figures These shapes have a continuous boundary that encloses a region.
A. Polygons
Closed figures whose boundaries are made up entirely of straight line segments with at least three sides. They are typically classified by the number of sides.
1. Triangles (3 Sides)
By Side Length
a) Isosceles Triangles
A triangle that has at least two equal sides. (Some define it as only having two equal sides, thus excluding the equilateral triangle)
b) Equilateral Triangles
A triangle in which all three sides have the same length.
c) Scalene Triangles
A triangle in which all three sides have different lengths.
By Angles
a) Acute Triangles
A triangle that has three angles that each measure less than 90 degrees.
b) Right Triangles
A triangle that has one angle that is 90 degrees.
c) Obtuse Triangles
A triangle that has one angle that is greater than 90 degrees.
2. Quadrilaterals (4 Sides)
a) Trapezoid
A quadrilateral with one pair of parallel sides.
b) Kite
A kite is a quadrilateral with two distinct pair of adjacent sides of equal length. (Note: Some sources define kites broadly by not stating that the two pair are distinct. The first, restricted definition excludes squares and rhombuses while the broad definition would include them)
c) Parallelogram
A quadrilateral in which both pairs of opposite sides are parallel and equal length.
(1)Rectangle
i)Square
(2)Rhombus
3. Pentagons (5 Sides)
4. Hexagon (6 Sides)
5. Heptagon (7 Sides)
6. Octagon (8 Sides)
7. Nonagon (9 Sides)
8. Decagon (10 Sides)
B. Non-Polygonal Closed Figures
If any side or part of a plane figure is curved (not straight) it is not a polygon.
1. Circles
A plane figure bounded by one curved line, and such that all straight lines drawn from it's center to the bounding line, are equal.2. Ellipse
II. Open Figures
These shapes do not enclose an area completely.
https://www.quora.com/What-are-Polygons-and-non-polygons-What-are-their-differences
https://authenticinquirymaths.blogspot.com/2017/05/polygons-and-non-polygons.html
https://www.math.net/plane-figure
https://cryptlabs.com/polygons/
https://www.google.com/search?q=hierarchy+of+polygons&rlz=1C1CHBF_enUS876US876&oq=hierarchy+of+polygons&gs_lcrp=EgZjaHJvbWUyDwgAEEUYORiRAhiABBiKBTIICAEQABgWGB4yCAgCEAAYFhgeMg0IAxAAGIYDGIAEGIoFMg0IBBAAGIYDGIAEGIoFMg0IBRAAGIYDGIAEGIoFMgoIBhAAGKIEGIkFMgYIBxBFGDzSAQg2NTgyajBqN6gCALACAA&sourceid=chrome&ie=UTF-8#vhid=ZjLkUb2l-jrE_M&vssid=_s9T3Z-WfBoqIwbkPmLGDGA_38
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