1.3 Measuring Angles · Identify the four types of angles. ·Measuring angles with a protractor. ·Identify and use the Angle Addition Postulate. Be llringer.

Slides:

Advertisements

Similar presentations

Grade 7 The Shape of Design

Advertisements

2-5 Proving Angles Congruent

Lines, Segments, and Rays. Line  A line is perfectly straight and extends forever in both directions. Any two points on the line can be used to name.

Standard 2.0, 4.0.  Angles formed by opposite rays.

Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs

Angles. Angles are formed by two rays that have a common endpoint. A B C Notice ray AB and ray BC have a common endpoint, point B. Point B is called the.

1.5 Exploring Angle Pairs 9/20/10

a location in space that has no size.

Warm Up:. Linear Pair I: Two angles that share a common vertex and together make a straight line (180°). M: What is the missing measure?

Introduction Think about crossing a pair of chopsticks and the angles that are created when they are opened at various positions. How many angles are formed?

DEFINITIONS, POSTULATES, AND PROPERTIES Review HEY REMEMBER ME!!!!!!

Proving the Vertical Angles Theorem

Angle Pair Relationships

Angles (def) An ACUTE ANGLE is an angle w/ a MEASURE less than 90° (def) A Right angle is an angle w/ a MEASURE = 90° (def) An Obtuse angle is an angle.

§2.1 Introductory Material The student will learn about: and the beginning postulates to be used in this course. definitions of basic terms, 1.

1-2: Measuring & Constructing Segments. RULER POSTULATE  The points on a line can be put into a one-to-one correspondence with the real numbers.  Those.

Linear Pair Postulate If two angles form a linear pair then they are supplementary.

Measuring Angles Chapter 1 Section 4. ANGLE An angle is two rays that share a common endpoint. A B C Angles are named by a point on each side and the.

Angles and Their Measures

We’re going to do two sections today Measuring segments 1.4 – Measuring angles Please begin on the warm up. Thanks.

Proving Angle Relationships

Angle Relationships Section 1-5 Adjacent angles Angles in the same plane that have a common vertex and a common side, but no common interior points.

Chapter 2.7 Notes: Prove Angle Pair Relationships

SPECIAL PAIRS OF ANGLES. Congruent Angles: Two angles that have equal measures.

Chapter 2.7 Notes: Prove Angle Pair Relationships Goal: You will use properties of special pairs of angles.

Welcome to class The warm up is 1-2 Word puzzle on the table.

Geometry Section 1.6 Special Angle Pairs. Two angles are adjacent angles if Two angles are vertical angles if.

Angles Acute angle (def)- angle measure less than 90° Right angle (def)- angle measure= 90° Obtuse angle (def)- angle measure greater than 90° Straight.

Introduction Think about crossing a pair of chopsticks and the angles that are created when they are opened at various positions. How many angles are formed?

Reasoning & Proof Chapter 2.

Section 1-5: Exploring Angle Pairs Objectives: Identify special angle pairs & use their relationships to find angle measures.

Geometry 1-3 Measuring and Constructing Angles. Vocabulary Angle- a figure formed by two rays, or sides, with a common endpoint. Vertex- The common endpoint.

Chapter 13 L13-1 Notes: Angles. Vocabulary Angles have two sides that share a common endpoint called the vertex of the angle.

1.3 Measuring Angles Lesson Essential Question: How do you accurately measure angles and use the Angle Addition Postulate? Bellringer 1. ) Which "Building.

Measuring Angles. Geometry vs Algebra Segments are Congruent –Symbol [  ] –AB  CD –  1   2 Lengths of segments are equal. –Symbol [ = ] –AB = CD.

2-4 Special Pairs of Angles Objectives -Supplementary Angles Complementary Angles -Vertical angles.

Chapter 1 - Section 3 Special Angles. Supplementary Angles Two or more angles whose sum of their measures is 180 degrees. These angles are also known.

Proving Angle Relationships. Protractor Postulate - Given AB and a number r between 0 and 180, there is exactly one ray with endpoint A, extending on.

Section 1-6 Angle Pair Relationships. Vertical angles Formed when two lines intersect. Vertical Angles are Congruent. 1 2.

Honors Geometry Section 1.3 part2 Special Angle Pairs.

1.6 Angles and Their Measures

1-2: Measuring & Constructing Segments. RULER POSTULATE  The points on a line can be put into a one-to-one correspondence with the real numbers.  Those.

Unit 1 Learning Outcomes 1: Describe and Identify the three undefined terms Learning Outcomes 2: Understand Angle Relationships.

4.1 Notes Fill in your notes. Adjacent angles share a ______________ and _______, but have no _______________________. vertexsidePoints in common.

Objectives: Measure angles with a protractor Identify and use the angle addition postulate Warm-Up: Find the indicated value. AC = 20; AB = _____ A BC.

CHAPTER 1: Tools of Geometry Section 1-6: Measuring Angles.

Geometry 2.7 Big Idea: Prove Angle Pair Big Idea: Prove Angle PairRelationships.

1-5 Angle Relationships Students will learn how to identify and use special pairs of angles, namely, supplementary, complementary, and congruent (have.

Unit 1 All About Angles and Constructions (not necessarily in that order) Ms. Houghton Geometry Honors Fall 2014.

M217 Section 1.3 Measuring Angles. Angle Terminology: Angle: 2 different rays with the same endpoint Vertex: Common endpoint - A Sides: Two rays – Naming:

ANGLERELATIONSHIPS SECTION 1-5 and 2-8 Jim Smith JCHS Spi.3.2.E.

Chapter By Skyler Cassity & Ryan Tourial.

Geometry 2.2 And Now From a New Angle.

What’s Your Angle? SOL 8.6 Mr. Kozar Godwin Middle School.

DO NOW Constructing a Segment Bisector Draw ST on your transparency paper. Fold the paper so point S is lying on point T. In the crease draw a dotted line.

Copyright © Cengage Learning. All rights reserved. Line and Angle Relationships 1 1 Chapter.

Proving the Vertical Angles Theorem (5.5.1) May 11th, 2016.

Angles #29 Acute angle (def)- angle less than 90° # 28 Right angle (def)- angle = 90° #30 Obtuse angle (def)- angle greater than 90° #31 Straight angle.

7-2 Measuring and Classifying Angles What You’ll Learn To measure and describe angles To measure and describe angles To work with pairs of angles To work.

Geometry Farris   I can measure and create angles of a given measure by using a protractor. I can classify types of angles by their measurement.

Angle Relationships.

Statements About Segments and Angles

Angle Pairs Module A1-Lesson 4

2.6 Proving Statements about Angles

G-CO.1.1, G-CO.1.2, G-Co.1.4, G-CO.1.5, G-CO.4.12, G-CO.3.9

1-5 Angle Relations.

Special Pairs of Angles

2.6 Proving Statements about Angles

Special Pairs of Angles

Presentation transcript:

1.3 Measuring Angles · Identify the four types of angles. ·Measuring angles with a protractor. ·Identify and use the Angle Addition Postulate. Be llringer If line segments AT, TB, and AB all lie on a straight line find the distance of AT which has a measure of 3x + 5, TB which has a measure of x, and AB which has a total length of 20 inches.

4 Types of Angles (1.3.6) A __________________________________ is an angle whose measure is 90. An ________________________ is an angle whose measure is less than 90. An _________________________ is an angle whose measure is greater than 90 and less than 180. A _________________________________ is an angle whose measure is 180. VIS UAL EXAMPLE OF ANGLES 0°

What are the steps to measuring an angle? 1. Use a protractor (which is used to measure angles). 2. Put the center of the protractor at the vertex. (where the two rays meet) 3. Align the protractor so that the bottom ray passes through 0 on the protractor. 4. Read the measure of the angle (using the appropriate scale) at the point where the other ray intersects the protractor.

Construct the following angles · Remember the directions on how to construct angles using a protractor m ABC = m DEF = m YXZ = m MNP = 180

Congruent Angles Which an gles are ≅ ? Ang le Congruence Postulate (1.3.2) If 2 angles have the same measure, then they are congruent. If 2 angles are congruent, then they have the same measure. VI SUAL EXAMPLE OF CONGRUENT ANGLES M A B C

Angle Addition Postulate (1.3.3) If point S is in the interior of PQR then m PQS + m SQR = m PQR VISUAL EXAMPLE Indep endent Practice B E M T If m BTM = 39, m BTE = (3x - 6), and m ETM = (x + 25), then find the following... 1.) What is the value of x? ______________________ 2.) What is the m BTE? _______________________

Special Angle Pairs (1.3.4) C omplimentary angles are 2 angles whose measures have a sum of 90. Each angle is called the complement of the other. Example Supplementary angles are 2 angles whose measures have a sum of 180. Each angle is called the supplement of the other. Example

If the endpoint of a ray falls on a line so that 2 angles are formed, then the angles are known as a linear pair. 1 and 2 form a linear pair. Linear Pair Property (1.3.5) If 2 angles form a linear pair, then they are supplementary. EXAMPLES 1 2