Presentation on theme: "POLYGONS. A polygon is a closed airplane figure made up of number of line segment that space joined together. The sides execute not overcome one another. Specifically two."— Presentation transcript:
You are watching: A closed figure made of line segments
2 A polygon is a closed aircraft figure made up of several line segments that space joined together. The sides execute not cross one another. Precisely two sides fulfill at every vertex. Crest : is the point at which two sides that a polygon meet.
3 consistent or irregular If all angles are equal and also all sides room equal, then it is regular, otherwise that is irregular varieties OF polygons
5 The sum of the angles of a triangle is 180 degrees. Triangle Equilateral Triangle An it is intended triangle has actually three political parties of equal length. This method that each angle is 60 degrees
6 Isosceles Triangle A triangle that has actually two sides of same length. Therefore, it has two equal angles.
7 Scalene Triangle A scalene triangle has three political parties with various lengths. Therefore, it has actually three different angles.
8 Acute Triangle : an acute triangle has three acute angles.
9 Obtuse Triangle: one obtuse triangle has actually an obtuse angle, in which among the angle is more than 90 degrees.
10 best Triangle : A best triangle has actually a best angle, in which one of the angles is 90 degrees.
11 A square is a four-sided polygon in which the amount of every the angle is 360 º
14 http://www.youtube.com/watch?v=69lfTURDleshttp://www.youtube.com/watch?v=69lfTURDles (the tune of polygons)
15 The intersection that the altitudes is the orthocenter. Orthocenter The intersection that the medians is the centroid.centroid The intersection the the angle bisectors is the center of the incenter. The circumcenter is the facility of a circle passing v the three vertices that the triangle.circumcenter POINT, LINES and also CIRCLES connected WITH A TRIANGLE
16 using Thales we have the right to divide a segment in same parts. STEPS: 1.Draw the given segment AB. This is the segment that we desire to divide. 2.From allude A attract an oblique beam (r). 3.Chose a measure with your compass and from suggest A attract arcs ~ above the oblique beam as plenty of arcs as parts you need. 4.Join the last allude of the oblique ray with suggest B. 5.Draw parallels making use of your collection square come the segment B7 native the various other points top top the ray. We usage Thales to organize to divide a provided line segment right into a number of equal parts Remember : THALES organize
17 how TO construct A “n” SIDED continual POLYGON http://www.educacionplastica.net/zirkel/divCir_sol.html 1- draw a circumference and its diameter AB. Divide the diameter in as countless parts as sides has the polygon (Thales Theorem). 2- With center at clues A and also B and radius the diameter´s length, draw both arcs which crossing at allude C. 3- Join suggest C with the second division on the diameter, and extend that so that it cut the circumference at point E. 4. The segment AE is the side of the forced polygon. Examine the following link to see much more ways to construct continuous polygons: http://www.educacionplastica.net/poligonos.htm#pri
18 STAR polygons - A star -shaped polygon is formed by joining with each other the non-consecutive vertices in a regular polygon. - To construct a star polygon inscriptions in a circumference, we should follow the same procedures to draw a regular polygon, it counts on how plenty of points the a star we want to draw. - for this reason we must start finding the star points as they to be the polygon vertices. A D B C
19 - monitor the same steps you monitor to attract a pentagon. - You have actually now points A, B, C, D and E. - sign up with the non-consecutive vertices together follows: A-D, E-C D-B, C-A and also B-E five STAR POLYGON CD E
20 six POINTS STAR POLYGON - monitor the same procedures you monitor to draw an hexagon. - You have now points A,F,C B,D and also E. - sign up with the non-consecutive vertices as follows: A-C, C-D,D-A,E-F,F-B and B-E A F C B D E
21 EIGHT point out STAR POLYGON - after the very first steps usual to all continuous polygons we get four rect angles and points A,B,C,D. - find the edge bisector of every angle.Those rects crossing the circumference at points E, F,G and H. - sign up with together the no consecutive vertices to uncover an eight points star polygon: A-B, B-C, C-D, D-A and also E-F, F-G, G-H, H-E
22 long EIGHT clues STAR POLYGON - monitor the same steps you follow to attract an eight clues star polygon. - We´ll surname these points with numbers this time, come make easier the joining.
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- sign up with the 1+3 non-consecutive points beginning at number 1. A E F B G C H D E