PPT-Adjacent, vertical, complementary and supplementary angles

Mr Peterson CC standard 7g5 Use facts about supplementary complementary vertical and adjacent angles in a multistep problem to write and solve simples equations for an unknown angle in a figure . Points, Lines, and Angles. 1. Goal . Tell type of angle.. Label angles.. Measure angles. . 2. Review . 3. 4. A? B? C?. Check . a ) ray. b) line segment. c) line . 5. 6. 7. angle. a figure . formed . Simplify each expression.. 1.. . 90 –. . (. x . + 20). 2.. 180 – (3. x . – 10). Write an algebraic expression for each of the following.. 3.. 4 more than twice a number. 4.. 6 less than half a number. 4 sides. 2. angles add to 360. Parallelogram. Opposite sides are parallel and congruent. Opposite angles are congruent. Adjacent angles are supplementary. Diagonals bisect . eachother. Rectangle. Opposite sides are parallel and congruent. Definitions. Complementary angles – the sum of their measures is 90˚. Each angle is the compliment of the other. A. B. 32˚. 58˚. Definitions. Supplementary angles – the sum of their measures is 180˚. and Corresponding Angles. Congruent and Transversal. Transversal: A line that crosses two parallel lines.. Congruent: looks like .  . Vertical Angles. Vertical Angles: Intersecting lines form two pairs of vertical angles.. TeacherTwins©2014. Warm Up. Identify the pairs of angles as complementary or supplementary or neither.. 1). 45. ◦ . and 45. ◦ . 2). 36. ◦. and 54. ◦. 3). 65. ◦. and 115. ◦. 4). 135. 9.10.15. Do Now. Define the following:. Acute angle. Straight angle. Right angle. Obtuse angle. Ray. Line. Line segment. How do you prove you are right?. Proving You . A. re Right. We write an explanation of our thinking or thought process.  . Lesson Aim: . How do we prove and apply theorems about . angles. ?.  . Lesson Objectives:. SWBAT . To prove and apply theorems about angle.. NYS Content Strand.  . G.PS.4. Construct various types of reasoning, arguments, justifications and methods of proof for problems.. Vocabulary. Complimentary Angles – When two angles add up to 90°. Supplementary Angles – When two angles add up to 180°. Using Complimentary & Supplementary Angles. Vocabulary Review. Acute Angle. Measure angles with a protractor. Identify and use the angle addition postulate. Warm-Up: . Find the indicated value. AC = 20; AB = _____. A. B. C. x-4. 2x 3. Vocabulary:. Degree:. The most common unit of angle measure.. Terminal side – end side of angle. Standard position – An angle whose initial side is on the positive x-axis. Positive angles. An angle in standard position that rotates counterclockwise. Negative angles. Ticket in the door review. Unit 4: Geometry Vocabulary Cornell notes. Wrap-up. Ticket in the Door. Where should book bags be placed in the classroom?. What is Mrs. Janice’s call and response?. Format you paper for Cornell Notes. Topic: Geometry E.Q.: What are the vocabulary terms and their definitions in relation to unit 4 vocabulary.. 1. Warm UP: . If. . m. . 1 = 23 º and m. . 2 = 32 º, find the measures of all other angles.. Answers:. Adjacent, . Vertical, . Supplementary, and Complementary Angles. Adjacent angles are “side by side” and share a common ray.. adjacent angles. complementary angles. supplementary angles. Congruent angles. have the same measure.. Vertical angles. are formed opposite each other when two lines intersect. Vertical angles have the same measure, so they are always congruent..