TODAY IN GEOMETRY… Learning Goal: 1.6 Classify Polygons

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Presentation transcript:

TODAY IN GEOMETRY… Learning Goal: 1.6 Classify Polygons Independent Practice – NO A.T.

POLYGON: a closed plane figure formed by three or more line segments. sides Polygons are named by listing vertices in consecutive order: ABCDE BCDEA CDEAB DEABC EABCD A B E C vertex D

CONVEX POLYGON: polygon with all interior angles less than 180°. No lines that contain the sides goes through the interior of the polygon.

CONCAVE POLYGON: polygon with one or more interior angles greater than 180°. One or more lines that contain the sides, goes through the interior of the polygon. interior

1. 2. Not a polygon Convex polygon 3. 4. Concave polygon Not a polygon PRACTICE: Tell whether the figure is a polygon and whether it is concave and convex. 1. 2. Not a polygon Convex polygon 3. 4. Concave polygon Not a polygon

NAMING POLYGONS: polygons are named by the number of sides they have. Type of Polygon 3 9 4 10 5 11 6 12 7 n 8 Triangle Nonagon Quadrilateral Decagon Pentagon Hendecagon Hexagon Dodecagon Heptagon n-gon Octagon **Name any polygon larger than 12 sides with n-gon. Example: 14 sided polygon is a 14-gon

EQUILATERAL POLYGON: polygon with all congruent sides. Equilateral hexagon

EQUIANGULAR POLYGON: polygon with all congruent interior angles. Equiangular hexagon

REGULAR POLYGON: a convex polygon that is both equilateral and equiangular. Regular Pentagon

1. 2. Regular hexagon Equilateral Equiangular Quadrilateral PRACTICE: Classify the polygons by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. 1. 2. Regular hexagon Equilateral Equiangular Quadrilateral Not equilateral Not equiangular

PRACTICE: Find the length of one side of the regular hexagon. Sides of a regular hexagon are congruent: 3𝑥+6=4𝑥−2 − 3𝑥 − 3𝑥 6=𝑥−2 + 2 + 2 𝟖=𝒙 Substitute x to find one length: 3𝑥+6 =3 8 +6 =𝟑𝟎 3𝑥+6 4𝑥−2

HOMEWORK #7: Pg. 44: 3-13, 15-17, 24-30 If finished, work on other assignments: HW #1: Pg. 5: 1, 5, 8-11, 13, 15, 17-21, 27-30, 46 HW #2: Pg. 12: 6-16, 21-28, 33, 35 HW #3: Pg. 19: 5-19, 25-27 HW #4: Pg. 20: 31-34, 43-45, 50-52 HW #5: Pg. 29: 7-27, 33-38, 45, 47, 50, 52, 62 HW #6: Pg. 38: 4-43 odd, 46-52