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
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
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
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
Transcript: octogan Template by Missing Link Images from Shutterstock.com thank you by PRAISE rhombus hexagon
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
Transcript: If and only if or iff: What would consecutive vertices be? A polygon is convex if no diagonal is outside the polygon Which of these are Polygons? Special Types of Polygons Convex: What other names do these polygons go by? Name 1: With a straight edge construct an convex polygon ( > 6 sides) 2: Connect all non-consecutive vertices with their diagonals triangle Further Polygon Terms: it means that it must work both ways a polygon is a closed figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others. <=> Regular Polygon: If polygons are congruent then corresponding sides and angles are congruent. is the same as If corresponding sides and angles are congruent then polygons are congruent. Two polygons are congruent if and only if they are exactly the same size and shape. Polygons Equiangular Polygon: Congruent Polygons: Number of sides All sides have equal length 3 4 5 6 7 8 9 10 11 12 n 20 Equilateral Polygon: is both equilateral and equiangular A polygon is concave is at least one diagonal is outside the polygon Parts of a polygon Activity All angles have equal measure Draw and Label : Isosceles Triangle, Equilateral Triangle, Scalene Triangle, Right Triangle, Obtuse Triangle, Acute Triangle Do 1.5 6-9 Concave:
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
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