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lesson 1.4 Geometry.notebook September 16, 2015 Warm Up 1. Simplify each expression. 2. 90 – (x + 20) 3. 180 – (3x – 10) Write an algebraic expression for each of the following. 4. 4 more than twice a number 5. 6 less than half a number lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 Name and label each of the following: 1. a Ray 2. a line 4. a plane 3. a line segment B A D C E T 5. an acute angle 6. a straight angle G H 7. an obtuse angle 8. a right angle 1 F J I lesson 1.4 Geometry.notebook September 16, 2015 GOAL~ Pairs of Angles! Identify 1. adjacent angles 2. vertical angles 3. complementary angles 4. supplementary angles. 5. Linear Pairs Find measures of pairs of angles. lesson 1.4 Geometry.notebook September 16, 2015 Vocabulary Pairs of Angles Supplementary Angles Adjacent Angles Vertical Angles Linear Pair Complementary Angles lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 Always True, Sometimes True, or Never True ? 1. All linear pairs are adjacent angles 2. Adjacent angles are linear pairs 3. Nonadjacent angles can be a linear pair lesson 1.4 Geometry.notebook 1) Name all of the Adjacent Angles. 2) Name all of the Linear Pairs. September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. 1) ∠AEB and ∠BED 2) ∠AEB and ∠BEC 3) ∠DEC and ∠AEB lesson 1.4 Geometry.notebook September 16, 2015 Vertical angles are two nonadjacent angles formed by two intersecting lines. ∠1 and ∠3 are vertical angles, as are ∠2 and ∠4. lesson 1.4 Geometry.notebook September 16, 2015 Name the pairs of vertical angles. lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 A way to remember.... Complementary angles Compliment their rightness! Supplementary angles are Straight! lesson 1.4 Geometry.notebook September 16, 2015 Using Algebra to find the Measures of Complements and Supplements You can find the complement of an angle that measures x° by subtracting its measure from 90°, or (90 – x)°. A. Find the complement of ∠F B. Find the complement of ∠E lesson 1.4 Geometry.notebook September 16, 2015 Using Algebra to find the Measures of Complements and Supplements You can find the supplement of an angle that measures x° by subtracting its measure from 180°, or (180 – x)°. A. Find the supplement of ∠F B. Find the supplement of ∠G lesson 1.4 Geometry.notebook September 16, 2015 An angle is 10° more than 3 times the measure of its complement. Find the measure of the complement. lesson 1.4 Geometry.notebook September 16, 2015 Your Turn An angle is 4 times the measure of its supplement. Find the angle and its supplement. lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 lesson 1.4 Geometry.notebook September 16, 2015 Homework: Due Next Class 1.4 pg 32 #3, 6, 9, 10, 13, 16, 17, 22, 26, 29 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