Angles Review. This powerpoint presentation will allow you to work at your own pace through various angle problems.

Slides:

Advertisements

Similar presentations

Defined Terms and Postulates April 3, Defined terms Yesterday, we talked about undefined terms. Today, we will focus on defined terms (which are.

Advertisements

Angle Pair Relationships

Geometry Review Test Chapter 2.

ANGLES Geometry 1.3a. State Standard: LG.1.G.4Geometry Apply, with and without appropriate technology, definitions, theorems, properties, and postulates.

ANGLESANGLES. You will learn to classify angles as acute, obtuse, right, or 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?

Adjacent, vertical, complementary and supplementary angles

Proving the Vertical Angles Theorem

Angle Relationships.

Bellringer Your mission: Construct a perfect square using the construction techniques you have learned from Unit 1. You may NOT measure any lengths with.

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.

Measure and classify Angles

Bell Work In your group, solve the following problems. The color indicate the person that’ll write the answer to the question. (4 questions about line.

Objective 1.01 Apply the properties and definitions of lines and angles to model and solve problems. Vocabulary Acute: an angle that measure less than.

Angles – all you need to know!. Contents Recap the terms Angles in daily life What is an angle? Naming an angle Interior and exterior of an angle Measurement.

Chapter 1-4 Angles and Segments To Use and apply the Segment Addition Postulate and Angle Addition Postulate To classify angles.

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

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

Math I CAN find the measure of angles. I CAN construct angles.

1.4 ANGLES. The two rays are called the sides of the angle. The common endpoint of the two rays is called the vertex of the angle An angle is a geometric.

Point A location Line Line segment Ray A straight path that goes on forever in both directions. A straight path between the points, called its endpoints.

ANGLESANGLES. You will learn to classify angles MG 3.5 Know the definitions of a right angle, an acute angle, and an obtuse angle.

Chapter 1.4 Notes: Measure and Classify Angles Goal: You will name, measure, and classify angles.

 What is an angle?  Two different rays with the same endpoint.  Rays are the sides, endpoint is the vertex.  Named with 3 points or by the vertex.

 Please grab notes from the back  Get out your HW to grade.

1.3 a: Angles, Rays, Angle Addition, Angle Relationships G-CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent;

Line and Angle Relationships

Measuring Angles Geometry Mrs. King Unit 1, Lesson 5.

Section 1-4 Angles and their Measures. Angle Formed by two rays with a common endpoint –T–The rays are the sides of the angle –T–The common endpoint is.

Angles and Their Measures

Lesson 1-1 Point, Line, Plane Modified by Lisa Palen.

DMR #1 1. Write an algebraic expression for the sum of 35 and z.

Types of Angles A right angle has a measure of 90 degrees. An acute angle has a measure of less than 90 degrees. An obtuse angle has a measure greater.

Geometry Section 1.4 Angles and Their Measures. An *angle is the figure formed by the union of two rays with a common endpoint. The rays are called the.

Angle Bisector and Addition Postulates, Types of Angles.

How do you measure, name and classify angles? What is the Angle Addition Postulate? How do you identify angle pairs? Chapter 1 Section 1.6.

Warm-Up Judging by appearances, will the lines intersect? Name the plane represented by each surface of the box. the bottom 3. the top4. the front.

Lesson 1-4: Angles 1 Lesson 1-4 Angles. Lesson 1-4: Angles 2 Angle and Points An Angle is a figure formed by two rays with a common endpoint, called the.

UNIT: Tools of Geometry LESSON: 1.2a – Angles

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

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

+ Introduction to Angles. + Introduction to Lesson The purpose of this tutorial is to introduce angles and the various relationships they have. Upon completion.

Opening Activity #1 Turn in your Are You Ready?. #2 Have a pencil out & complete your progress tracker for your Ch. 7 pretest. #3 Go to xtramath.org and.

Basics of Geometry Chapter Points, Lines, and Planes Three undefined terms in Geometry: Point: No size, no shape, only LOCATION.  Named by a single.

Angles Project Endiya, Nick, and Mason 5th period Let’s get learning…

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

Geometry Lesson 1 – 4 Angle Measure Objective: Measure and classify angles. Identify and use congruent angles and the bisector of an angle.

Warm - up Draw the following and create your own intersection –Line AB and line t intersecting –Plane Q and line XY intersecting –Plane K and plane M intersecting.

WARMUP I. Solve the following 1.Plane GEDF and plane DFBC intersect at? 2.Plane EADB and plane EGAH intersect at? 3.Line EG and line DE intersect at? 4.

ANGLE RELATIONSHIPS Mrs. Insalaca 8 th Grade Math.

Bell Ringer: Quiz Review 1.) Define a.) Collineard.) Obtuse b.) Coplanare.) Right c.) Acute Solve for x 2.) 3.) A B C 2x AC = 8X + 4 A B C D 3x +

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

Lesson 1-1 Point, Line, Plane

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.

1. Name a plane. 2. Name a line. 3. Name a ray. 4. Name a point. 5. Name three collinear points. 6. Name four coplanar points. 7. Name a segment. 8. Do.

GEOMETRY HELP Name the angle below in four ways. The name can be the vertex of the angle: G. Finally, the name can be a point on one side, the vertex,

Warm - up Draw the following and create your own intersection

Measuring Angles Unit 1 Lesson 4.

Angle Relationships.

1-4: Measuring Angles.

Warm - up Draw the following and create your own intersection

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.

Chapter 1 Basics of Geometry.

Chapter 1 Basics of Geometry.

Geometry Chapter 1 Section 1-4 Measuring Angles.

Chapter 2 : Angles Vocabulary Terms.

Angles An angle is made up of 2 rays with a common end point called the vertex. Angles are measured in units called degrees. Vertex- the point where the.

Presentation transcript:

Angles Review

This powerpoint presentation will allow you to work at your own pace through various angle problems.

When you see this symbol at the top of the screen, you are just supposed to read an explanation or “watch” the problem being solved.

When you see this symbol at the top of the screen, it’s your turn to try a problem. You’ll have the opportunity to check your answers at the end of the presentation.

Angle Vocabulary These are the words that you need to know for your angles test. AngleVertexSide Adjacent Angles Acute Angle Vertical Angles Obtuse Angle Right AngleStraight Angle

Write the vocabulary word that matches the definition. 1. the common endpoint of two rays that form an angle 2. An angle whose measure is exactly 90  3. Two coplanar angles that have a common endpoint and a common side but do not overlap

Write the vocabulary word that matches the definition. 4. An angle whose measure is more than 0° but less than 90° 5. the ray (or rays) that forms an angle 6. An angle whose measure is more than 90° but less than 180°

Write the vocabulary word that matches the definition. 7. Two non-adjacent angles formed by intersecting lines – on opposite sides of the vertex 8. A pair of rays that share a common endpoint 9. An angle whose measure is exactly 180° - in other words, a line!

A Naming Angles Angles can be named in up to four ways With the vertex letter With a number written in the angle’s interior With all three letters, written in either order, with the vertex letter in the middle C B 1 BB 11  ABC or  CBA

Name the angles below in four ways A C R 8 D P I 2

Classifying Angles Angles can be classified based on the degree measurement, but without a protractor, you have to use your “common sense”. Angles that are bigger than an L shape are obtuse

Classifying Angles Angles that are smaller than an L shape are acute Without a protractor, a right angle can only be classified if it has a box at the vertex.

Classifying Angles A line is a straight angle … … if you label three points on it. JAN This one is called  JAN or  NAJ

Classify the angles as acute, right, obtuse, straight or impossible to tell

Using Protractors The most important thing is to line up the protractor properly and to follow the correct “track” To pick the track, follow the ray out to the edge of the protractor and find the number 0 (or 10 on some protractors)

To measure this angle, line up a protractor pick the track follow the track 107 

16. Measure the angle.

17. Measure the angle.

Angle Bisectors An angle bisector is a ray that divides an angle into two congruent adjacent angles. X A O B m  AOX = m  XOB m  AOX = m  AOB 2 1 m  XOB = m  AOB 2 1 m  AOB = 2m  AOX m  AOB = 2m  XOB

Angle Bisectors If m  AOX = 7x + 18  and m  AOB = 24x + 6 , find x and the measure of each angle. X A O B m  AOB = 2m  AOX 24x + 6 = 2(7x + 18) 24x + 6 = 14x x + 6 = 36 10x = 30 x = 3 m  AOX = 7(3) + 18 = 39  m  AOB = 24(3) + 6 = 78 

18. If m  XOB = 9x + 52  and m  AOB = 18 – 25x , find x and the measure of each angle. 19. If m  XOA = 3x + 17  and m  BOX = 5x – 11 , find x and the measure of each angle.

Angle Addition Postulate The angle addition postulate says that for any pair of adjacent angles, the measure of the whole angle is equal to the sum of the measures of the two smaller adjacent angles. D A B C m  ABC = m  ABD + m  DBC

Angle Addition Postulate If m  ABC = 12x + 10 , m  ABD = 32  and m  DBC = 9x - 4 , find x and the measure of each angle. 12x + 10 = x - 4 m  ABC = m  ABD + m  DBC 12x + 10 = x 3x + 10 = 28 3x = 18 x = 6 m  ABC = 12(6) + 10 = 82  m  DBC = 9(6) – 4 = 50 

20. If m  ABC = 7x + 6 , m  ABD = 3x – 4  and m  DBC = 70 , find x and the measure of each angle. 21. If m  ABC = 45 – 13x , m  ABD = 7x + 53  and m  DBC = 2x + 36 , find x and the measure of each angle.

Adjacent Angles Since adjacent angles can’t overlap, the side they share has to be the middle ray out of the three rays. A M H T The middle ray is HA so the adjacent angles are  MHA and  THA.

22. Name the adjacent angles. S O C H

You’re finished! Show your paper to Ms. Jankowski or Mrs. Baldwin to get the answers! And don’t forget to study tonight!!!