advertisement

A.2 Geometry Review.notebook August 26, 2008 A.2 Geometry Review Objectives: • Use the Pythagorean Theorem and its Converse • Know Geometry Formulas Aug 17­11:01 AM 1 A.2 Geometry Review.notebook August 26, 2008 Definitions: Pythagorean Theorem: a2 + b2 = c2 Hypotenuse c a Leg 90o b Leg Aug 17­10:58 AM 2 A.2 Geometry Review.notebook August 26, 2008 Skills Review: Example 1: Find the hypotenuse. In a right triangle, one leg is of length 6 and the other leg is of length 8. What is the hypotenuse? a2 + b2 = c2 Aug 17­10:58 AM 3 A.2 Geometry Review.notebook August 26, 2008 Skills Review: Example 2: Verify that a triangle is a right triangle. Show that a triangle whose sides are of lengths 5, 12, and 13 is a right triangle. Identify the hypotenuse. a2 + b2 = c2 Aug 17­10:58 AM 4 A.2 Geometry Review.notebook August 26, 2008 Geometry Formulas: Rectangle: Area = lw Perimeter = 2l + 2w w l Triangle: Area = 1/2bh h b Circle: Area = πr2 Circumference = 2πr = πd d r Aug 17­10:58 AM 5 A.2 Geometry Review.notebook August 26, 2008 Geometry Formulas: Rectangular Box: Volume = lwh Surface Area = 2lh + 2wh + 2lw h w l Sphere: Volume = 4/3πr3 Surface Area = 4πr2 r Cylinder: r Volume = πr2h Surface Area = 2πr2 + 2πrh h Aug 17­10:58 AM 6 A.2 Geometry Review.notebook August 26, 2008 Skills Review: Example 3: Using Geometry Formulas A poster advertisement is in the shape of an ice cream cone (semicircle on top of a triangle). How many square inches of poster board is required to make the sign if the height of the triangle is 20 inches and the base is 16 inches? 16 Acircle = πr2 Atriangle = 1/2bh 20 Answer = 260.53 in2 ANSWER Aug 17­10:58 AM 7 A.2 Geometry Review.notebook August 26, 2008 Homework: page 964 (12 - 36 even, 41, 42) Aug 17­10:58 AM 8