Honors Geometry 23 Jan 2012 WARM UP- THINK- 3 minutes silently PAIR- chat with a partner 1. If a vertical line of symmetry is drawn through this trapezoid,

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Honors Geometry 23 Jan 2012 WARM UP- THINK- 3 minutes silently PAIR- chat with a partner 1. If a vertical line of symmetry is drawn through this trapezoid, what is the shape of each resulting half? a) rhombus c) parallelogram b) rectangle d) trapezoid 2. Find x:

objective Homework Due Tuesday pg. 443: 1- 8, 15, 16 students will derive and apply the formula for the area of a regular polygon students will take notes, participate in class discussion and use think-pair-share Homework Due Tuesday pg. 443: 1- 8, 15, 16

Project See handout PROJECT DUE: FEBRUARY 6

Area formulas: Regular Polygons ?

Areas of Regular Polygons Read pg 442 Do investigation--complete handout words to know: apothem circumscribed circle

3as 5 6 7 …. 12 n 6as apothem Number of sides a Area of regular polygon 3as 6as

Regular Polygon Area Conjecture Chapter 8 Area Formulas Term Definition Example apothem A perpendicular segment from the center of the polygon to a side of the polygon Regular Polygon Area Conjecture The area of a regular polygon is given by the formula Where A is the area, s is the side measure, n is the number of sides, a is the apothem Where A is the area, P is the perimeter and a is the apothem

because P = sn Do problems pg. 443: 11, 14

debrief what is the formula for finding the area of a regular polygon and how did we derive it? what is the apothem? what letter do we use to represent it? why don’t we just call it “h”? what is “s” in the formula? why don’t we just call it “b”? what will you do to help yourself remember the formulas?