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lesson 1.5 Geometry.notebook September 14, 2015 Name and Identify: 1) adjacent angles _______ Warm Up A B N 2) linear pair ________ 3) Complementary angles ________ C E 4) Supplementary angles _______ 5) Vertical angles ________ 6) Congruent angles _________ D P lesson 1.5 Geometry.notebook September 14, 2015 lesson 1.5 Geometry.notebook September 14, 2015 lesson 1.5 Geometry.notebook September 14, 2015 lesson 1.5 Geometry.notebook September 14, 2015 lesson 1.5 Geometry.notebook September 14, 2015 lesson 1.5 Geometry.notebook September 14, 2015 Warm Up m∠WYZ = (2x – 5)° and m∠XYW = (3x + 10)°. Find the value of x. lesson 1.5 Geometry.notebook September 14, 2015 lesson 1.5 Geometry.notebook September 14, 2015 lesson 1.5 Geometry.notebook September 14, 2015 lesson 1.5 Geometry.notebook September 14, 2015 1.5 GOAL Apply formulas for perimeter, area, and circumference. Example: Find the Area and Circumference of a circle that has a Diameter of 9 inches lesson 1.5 Geometry.notebook September 14, 2015 Definitions lesson 1.5 Geometry.notebook September 14, 2015 The perimeter P of a plane figure is the sum of the side lengths of the figure. The area A of a plane figure is the number of nonoverlapping square units of a given size that exactly cover the figure. lesson 1.5 Geometry.notebook September 14, 2015 The base b can be any side of a triangle. The height h is a segment from a vertex that forms a right angle with a line containing the base. The height may be a side of the triangle or in the interior or the exterior of the triangle. lesson 1.5 Geometry.notebook September 14, 2015 lesson 1.5 Geometry.notebook Example 1: Perimeter and Area Find the perimeter and area of each figure September 14, 2015 lesson 1.5 Geometry.notebook September 14, 2015 Example 2: Perimeter and Area Find the perimeter and area of the figure lesson 1.5 Geometry.notebook September 14, 2015 Your Turn! Find the perimeter and area of a square with s = 3.5 in. lesson 1.5 Geometry.notebook September 14, 2015 The area of a triangle is 80 in2. Find the height of the triangle if the base is 16 in. lesson 1.5 Geometry.notebook September 14, 2015 Your Turn! The area of a rectangle is 48.96 in2. Find the length of the rectangle if the width is 7.2 in. lesson 1.5 Geometry.notebook September 14, 2015 Circle! In a circle a diameter is a segment that passes through the center of the circle and whose endpoints are on a circle. A radius of a circle is a segment whose endpoints are the center of the circle and a point on the circle. The circumference of a circle is the distance around the circle. lesson 1.5 Geometry.notebook September 14, 2015 lesson 1.5 Geometry.notebook September 14, 2015 Example 4: Finding the Circumference and Area of a Circle Find the circumference and area of a circle with radius 8 cm rounded to the nearest tenth and in terms of pi. 8 cm Your Turn! Find the circumference and area of a circle with radius 14m. lesson 1.5 Geometry.notebook Homework: 1.5 pg 38 #325 Big Quiz Thurs/Friday 1.11.5 Quiz Review: a. Angle Bisectors: pg 25 #1718 b. Segment Bisectors: pg 17 #18 c. Angle Addition Postulate: pg 25 #15, 16 d. Segment Addition Postulate: pg 18 #3133 e. Comp. and Suppl. Angles: pg 32 #2631 September 14, 2015 lesson 1.5 Geometry.notebook September 14, 2015 Your Turn ~ Review lesson 1.4 An angle is 6° plus 2 times the measure of its complement. Find the measure of the complement. lesson 1.5 Geometry.notebook September 14, 2015 Many Definitions and Postulates define a relationship between things. This means: Create an Equation! Bisectors (midpoint and angle bisector) Segment or Angle Addition Postulates "midpoint" or "bisect" "between" "angle bisector" "interior"
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