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Polygon

Transcript: Wonderings in the real world Find the missing angles and it must add up to 720 degrees. (Hint: The angles add up to each other, but which ones.) Aaron and Kali Problem If angles were never created we would have a harder time building buildings that we have today. Why do polygons have to have angles? Polygon A: Polygons don't need to have angles, but most of the time it makes it easier to measure. add logo here

Polygon

Transcript: Parallelogram Acute triangle A right triangle has a 90 degree angle Equilateral Triangles Rectangle A isosceles triangle have 2 sides that have the same length l angle is obtuse and 2 is acute An acute triangle is a triangle with all 3 sides are acute This is one of the parts in a isosceles angle. An obtuse triangle is bigger than a 90 degree angle but less than a 180 degree angle A parallelogram has two sets of parallel sides A rhombus has four equal sides Quadrilateral Scalene Triangle By: LaCharles Woodruff A rectangle has four right angles A square has four equal sides and four right angles POLYGON PROJECT Square Scalene triangle have all three that are different they have a 90 degree angle A quadrilateral has a 4 sides and a360 degree angle Obtuse triangle Isosceles triangle Rhombus Right triangle A equilateral triangle have the same length all 3 angels are equal 60 degrees

Polygon Presentation

Transcript: Polygon Presentation As stated in the name, a parallelogram is a shape with all parallel sides. Pentagon Hexagon Square can be used as a great amount of things. They all have 4 parallel lines, 4 right angles, and 4 sides. Square Parallelogram By: Henry Zoll Trapezoid Every trapezoid has two parallel lines. They also have 2 acute and 2 obtuse angles. Just like the one in Washington D.C, all pentagons have 5 sides. A pentagon has 5 obtuse angles, also meaning it has no right angles. Pentagons can be classified as a parallelogram, The pentagon has no parallel lines. If you remember using shape blocks, then you'll remember using hexagons for honeycombs! The hexagon has 6 sides, the top and the bottom parallel. A hexagon also qualifies as

polygon

Transcript: the polygon Created by: Your Name 03. 04. 2017. what is a polygon? what is a polygon? A polygon is any two-dimensional shape formed with straight line. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. KINDS OF POLYGONS KINDS OF POLYGONS All of its anlges are less than 180 degrees. All of diagonals are internal. CONVEX POLYGONS CONVEX POLYGONS At least one angle measures more than 180 degrees. At least one of the diagonals is outside the shape of the polygon. concave polygons concave polygons All sides are equal. equilateral polygons equilateral polygons All angles are equal. equiangular polygons equiangular polygons They have equal angles and sides. regular polygons regular polygons They do not have equal angles and sides. irregular polygons irregular polygons types of polygons based on number of sides types of polygons based on number of sides

POLYGON

Transcript: INTRODUCTION TO POLYGON INTRODUCTION TO POLYGON IS IT A POLYGON? IS IT A POLYGON? Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is "closed" (all the lines connect up). Polygon (straight sides) Not a Polygon (has a curve) Not a Polygon (open, not closed) POLYGON POLYGON DEFINITION DEFINITION Polygon comes from Greek. Poly- means "many" and -gon means "angle" Pictures Pictures TYPES OF POLYGON TYPES OF POLYGON A. CONCAVE AND CONVEX B. SIMPLE AND COMPLEX C. REGULAR AND IRREGULAR A. CONCAVE & CONVEX A. CONCAVE & CONVEX A convex polygon has no angles pointing inwards. More precisely, no internal angle can be more than 180°. If any internal angle is greater than 180° then the polygon is concave. (Think: concave has a "cave" in it) CONVEX CONVEX CONCAVE CONCAVE B. SIMPLE & COMPLEX B. SIMPLE & COMPLEX A simple polygon has only one boundary, and it doesn't cross over itself. A complex polygon intersects itself! Many rules about polygons don't work when it is complex. SIMPLE SIMPLE COMPLEX COMPLEX C.REGULAR & IRREGULAR C.REGULAR & IRREGULAR A regular polygon has all angles equal and all sides equal, otherwise it is irregular REGULAR REGULAR IRREGULAR IRREGULAR MORE EXAMPLE MORE EXAMPLE Irregular Hexagon Concave Octagon Complex Polygon (a "star polygon", in this case a pentagram) Names of Polygons Names of Polygons A triangle has three sides and three angles Triangles Triangles A Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides. Quadrilaterals Quadrilaterals A pentagon is a 5-sided Polygon (a flat shape with straight sides): Pentagon Pentagon hexagon is a 6-sided polygon (a flat shape with straight sides). Hexagon Hexagon An octagon is an 8-sided polygon (a flat shape with straight sides). First, have a play with an octagon: Octagon Octagon Nonagon (or Enneagon) Nonagon (or Enneagon) Decagon Decagon BSEDUCATION MATHEMATICS LACSON, JR. ABELARD C. THANK YOU!! https://www.mathsisfun.com/geometry/polygons.html THANK YOU!! https://www.mathsisfun.com/geometry/polygons.html

Polygon presentation

Transcript: Polygons BY JONATHAN GAMEZ Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is closed all the lines connect up. Common Challenges Definition: Challenge 1 Challenge 1 Will becuse we got 2-demension shapes all around us a stop sign is a 2-demensional shape. why are we expected to know about it Challenge 2 Fact Fact They are named according to the number of sides or vertices triangle three sided, quadrilateral four sided, hexagon six sided. A regular polygon is equilateral has sides equal in length and equiangular has equal angles. ANY Q Challenge 3 Challenge 3

Polygon Presentation

Transcript: Acute Angles Polygon Presentation Convex AND Concave This is a nonagon with 5 acute angles, because an acute angle is less than , and it has five of them. This is an asymmetric nonagon because you aren't able to just pick a vertice/spot, draw a line straight across, and have the two sides be the same. Here are three examples of nonagons in real life! Regular AND Irregular Ending My Polygon... This is a nonagon with 9 reflexive angles, since a reflexive angle is any angle that is larger than 180 , but is less than 360 . My polygon is the nonagon. The nonagon has 9 sides. Therefore, it also has 9 angles. 140 / Obtuse By Ella Lichtenberg This is a nonagon with a right angle, since a right angle is , and it has one. The Nonagon Seminole Badge Interior Angle Sum of The Nonagon This is a regular nonagon because it doesn't have any of the qualites that an irregular nonagon has and yet it has the qualities of a normal nonagon. Symmetric AND Asymmetric This is a convex nonagon because there are no indents in it and it doesn't look like it has been cut out of. This is a nonagon with 9 obtuse angles, since an obtuse angle is any angle that is larger than 90 but less than 180 , and this nonagon has 9 of those. Thanks for Watching! Nonagons with Obtuse AND Reflexive Angles This is a concave nonagon since it has a large indent in it and it looks as if it was cut out of but it still has nine sides. The Nonagon Nonagons with Right AND Acute Angles Hong Kong $5.00 Coin This is an irregular nonagon because it is concave and has some other qualities that only irregular nonagons do, and it doesn't have any of the qualities of a regular nonagon even though it has nine sides since that doesn't really count. Equation: (Sides-2)180 = Interior Angle Sum OR Equation: (Sides-2)*180 = Interior Angle Sum OR Equation: (9-2)180 = 1,260 OR Equation: (9-2)*180 =1,260 Symmetry 220 / Reflexive This is a symmetric nonagon because at any vertice or spot on the nonagon you can draw a line straight across and both sides with be the same. Bottom of a Cup To find the interior angle sum of a nonagon, you simply need to subtract 2 from the number of sides, and then multiply that number, 7, by 180 to get the interior angle sum. So, the interior angle sum of a nonagon is 1,260 . Nonagons in Real Life Have a Great Rest of Your Day!

POLYGON

Transcript: a : systematically arranged and measured rhythm in verse: (1) : rhythm that continuously repeats a single basic pattern <iambic meter> (2) : rhythm characterized by regular recurrence of a systematic arrangement of basic patterns in larger figures <ballad meter> b : a measure or unit of metrical verse —usually used in combination <pentameter> — compare foot 4 c : a fixed metrical pattern : verse form 2 AREA A straight line going through the center of a circle connecting two points on the circumference. Area is a quantity that expresses the extent of a two-dimensional surface or shape, or planar lamina. diameter radius meter Perimeter The distance around a two-dimensional shape. Example: the perimeter of this rectangle is 3+7+3+7 = 20 The perimeter of a circle is called the circumference. CHORDS A line that links two points on a circle or curve The distance from the center to the edge of a circle It is half of the circle's diameter.

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