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CCSS Geom Unit A Day 5 part 1 A.notebook D.I.R.T. August 25, 2014 Day 5 part 1 Unit A Basic Geometry: Day #5 Types of Angles Learning Targets: I can identify types of angles including linear pair, supplements, complements, vertical , adjacent angles to prove and apply theorems about angles. CCSS: GCO.12, GCO.9 CLE: G.1.A. Performance Standard 1.8, 3.5, 4.1 DOK 1, 2, 3 Knowledge MA 2, MA 4 1 CCSS Geom Unit A Day 5 part 1 A.notebook August 25, 2014 Know the Gab UNIT A Vocab 2 3 1 Vertical Angles: "across from each other" 4 Vertical Angles are congruent. D Adjacent angles: 1) Share an entire side 2) Share a vertex 3) Do NOT overlap! C E F O B A Ex 1) Are these angles adjacent? Why or why not?? B A <AOB and <BOC C O <NPM and <QNP M P N Q S R W <RXS and <SWT T X V E S D 2 CCSS Geom Unit A Day 5 part 1 A.notebook August 25, 2014 Know the Gab Vocab UNIT A 30 60 Complementary Angles: add up to 90 degrees. 2 1 Supplementary Angles: add up to 180 degrees. Linear Pairs are SUPPLEMENTARY! 120 PROPERTIES OF CONGRUENCE DISTRIBUTIVE: a (b+c) = ab + ac 60 Other Properties Segment Addition: XY + YZ = YZ Angle Addition: Vertical angles are congruent. m<AOB + m<BOC = m<AOC Linear pairs are supplementary. 3 CCSS Geom Unit A Day 5 part 1 A.notebook August 25, 2014 Ex 2) Identify the given angles. Complementary angles: Supplementary angles: Vertical angles: 3 2 1 4 Adjacent angles: 5 Linear pair: Find the m<GOA Find the m<EOA Find the m<GOC T or F? <FOG and <GOB are complementary T or F? <FOA and <EOG are adjacent T or F? <COD and <GOB are complementary T or F? <COG and <GOF are a linear pair T or F ? <BOC and <FOE are supplementary 4 CCSS Geom Unit A Day 5 part 1 A.notebook August 25, 2014 Name the type of angle pair, then solve for y. Name the type of angle pair, then solve for z. 5 CCSS Geom Unit A Day 5 part 1 A.notebook August 25, 2014 Name the type of angle pair, then solve for x. Name the type of angle pair that you will use to set up the equation, then solve for x. 6 CCSS Geom Unit A Day 5 part 1 A.notebook August 25, 2014 Name the type of angle pair, then solve for y. Ex 3) Name the complement and supplement of each angle and the measure of the angle vertical to the given angle. 25 108 90 56 125 WARNING: NOT IN THE BOOK WARNING: NOT IN THE BOOK Complement Supplement Vertical 7 CCSS Geom Unit A Day 5 part 1 A.notebook August 25, 2014 8