際際滷

際際滷Share a Scribd company logo

6-1, 1-6 Angles of Polygons.ppt

Download as PPT, PDF
S
smithj91

This document defines and explains properties of polygons, including: - Names and number of sides of common polygons like triangles, quadrilaterals, pentagons, etc. - Formulas to calculate the interior angle sum and exterior angle sum of regular polygons based on the number of sides. - Examples of applying the formulas to find interior and exterior angle measures of octagons, decagons, and hexagons. - Instructions for students to practice identifying properties of polygons like the number of sides, interior angle sum, and exterior angle sum.

1 of 19
Download to read offline
ANGLES OF POLYGONS SECTION 6-1, 1-6 JIM SMITH JCHS 3108.4.10 3108.4.12
POLYGONS NOT POLYGONS
CONCAVE CONVEX TRY THE PEGBOARD AND RUBBER BAND TEST
NAMES OF POLYGONS SIDES TRIANGLE 3 QUADRILATERAL 4 PENTAGON 5 HEXAGON 6 HEPTAGON 7 OCTAGON 8 NONAGON 9 DECAGON 10 DODECAGON 12 N GON N SEE PAGE 390 IN TEXTBOOK
INTERIOR ANGLE SUM OF CONVEX POLYGONS FIND THE NUMBER OF TRIANGLES FORMED BY DIAGONALS FROM ONE VERTEX 6 SIDES = 4 TRIANGLES
INTERIOR ANGLE SUM FIND THE NUMBER OF TRIANGLES FORMED BY DIAGONALS FROM ONE VERTEX 4 SIDES = 2 TRIANGLES
INTERIOR ANGLE SUM FIND THE NUMBER OF TRIANGLES FORMED BY DIAGONALS FROM ONE VERTEX 8 SIDES = 6 TRIANGLES
INTERIOR ANGLE SUM EACH TRIANGLE HAS 180属 IF N IS THE NUMBER OF SIDES THEN: INT ANGLE SUM = (N 2 ) 180属
1 2 3 4 5 INT ANGLE SUM = ( 5 2 ) 180属 ( 3 ) 180属 = 540属
REGULAR POLYGONS REGULAR POLYGONS HAVE EQUAL SIDES AND EQUAL ANGLES SO WE CAN FIND THE MEASURE OF EACH INTERIOR ANGLE
EACH INTERIOR ANGLE OF A REGULAR POLYGON = (N 2 ) 180 N REMEMBER N = NUMBER OF SIDES
REGULAR HEXAGON INT ANGLE SUM = (6 2 ) 180 = 720属 EACH INT ANGLE = 720 = 120属 6
ALL POLYGONS HAVE AN EXTERIOR ANGLE SUM OF 360属 EXTERIOR ANGLE EXTERIOR ANGLE SUM THE MEASURE OF EACH EXTERIOR ANGLE OF A REGULAR POLYGON IS 360属 N
NAME ____________ # SIDES ____8________ INT ANGLE SUM _________ EACH INT ANGLE _________ EXT ANGLE SUM _________ EACH EXT ANGLE _________
NAME Octagon # SIDES ____8________ INT ANGLE SUM 6 x 180 = 1080属 EACH INT ANGLE 1080 / 8 = 135属 EXT ANGLE SUM 360属 EACH EXT ANGLE 360 / 8 = 45属
NAME DECAGON # SIDES ____________ INT ANGLE SUM _________ EACH INT ANGLE _________ EXT ANGLE SUM _________ EACH EXT ANGLE _________
NAME DECAGON # SIDES 10 INT ANGLE SUM 8 x 180 = 1440属 EACH INT ANGLE 1440 / 10 = 144属 EXT ANGLE SUM 360属 EACH EXT ANGLE 360 / 10 = 36属
NAME ____________ # SIDES ____________ INT ANGLE SUM _________ EACH INT ANGLE _________ EXT ANGLE SUM _________ EACH EXT ANGLE 60______
NAME HEXAGON # SIDES 360 / 60 = 6 INT ANGLE SUM (6-2) X 180 = 720属 EACH INT ANGLE 720 / 6 = 120属 EXT ANGLE SUM 360属 EACH EXT ANGLE 60

More Related Content

6-1, 1-6 Angles of Polygons.ppt