Advanced Geometry Section 2.2 Complementary and Supplementary Angles

Slides:

Advertisements

Similar presentations

Lesson 3-6 Congruent Angles. Ohio Content Standards:

Advertisements

More Angle Relationships. Deductive Reasoning To deduce means to reason from known facts When you prove a theorem, you are using deductive reasoning using.

2.6 – Proving Statements about Angles Definition: Theorem A true statement that follows as a result of other true statements.

2.2/2.4: Complementary & Supplementary Angles Day 3 I can recognize complementary angles. I can recognize supplementary angles.

2.3 Complementary and Supplementary Angles

Complementary and Supplementary Angles

Angle Pair Relationships

Conjectures that lead to Theorems 2.5

Chapter 2.7 Notes: Prove Angle Pair Relationships

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

Proving Angle Relationships

L.T. I can identify special angle pairs and use their relationships to find angle measure.

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

2.7 Prove Angle Pair Relationships

Proving angles congruent. To prove a theorem, a “Given” list shows you what you know from the hypothesis of the theorem. You will prove the conclusion.

Prove Theorems Advanced Geometry Deductive Reasoning Lesson 4.

P. 114: 23 – 28. Given Transitive prop. congruence Definition of congruence Given Transitive prop. Equality/Substitution.

Special Pairs of Angles Return to table of contents.

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

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

Three Types of Special Angles

Honors Geometry Section 1.3 part2 Special Angle Pairs.

Answers to Evens 2) Definition of Bisector 4) Angle Addition Postulate

Section 2-6: Geometric Proofs Rigor – prove and apply the Vertical Angles Theorem and the Linear Pair Theorem Relevance – These simple proof gives you.

2.4: Special Pairs of Angles

Complementary and Supplementary Word Problems

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

Complementary and Supplementary Angles. Objective: Learn to find Complementary and Supplementary Angles.

Geometry 1.6 Angle Pair Relationships. VERTICAL ANGLES Vertical angles are two angles whose sides form two pairs of opposite rays

2-4 Special Pairs of Angles. A) Terms 1) Complementary angles – a) Two angles whose sum is 90° b) The angles do not have to be adjacent. c) Each angle.

Angle Relationships Lesson 9-3. Angle Relationships Vertical angles are the opposite angles formed by intersecting lines. Vertical angles are congruent.

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

Section 1.6 Angle Pair Relationships standard #13 7/3/2016.

Types of Angle Pairs Foldable

Complementary and Supplementary Angles

Complementary and Supplementary Angles.

1.6 Angle Pair Relationship

Chapter 1 section 7 Angle relationships

Special pairs of angles

Warm Up Solve..

Describe Angle Pair Relationships

Chapter 1: Essentials of Geometry

Section 1-4 Pairs of Angles.

Angle Relationships Section 1-5.

Statements About Segments and Angles

Section 1.5. Section Angle Pair Relationships Identify vertical angles and linear pairs. Identify complementary and supplementary angles.

Types of Angles & Their Relationships

Proving Statements About Angles

Describe Angle Pair Relationships

Math Review Equations 1. Solve for x. Explain each step in a proof. Graphing Equations 2. Graph the following equation. Angle Relationships 3. Angles 1.

2.6 Proving Statements about Angles

Angle Pair Relationships

Complementary and Supplementary Angles

Chapter 2 Section 4 Special Angle Pairs Special Angle Pair #1:

X = 6 ED = 10 DB = 10 EB = 20 Warm Up.

Proving Statements About Angles

Angle Pair Relationships

Special Pairs of Angles

Complementary and Supplementary Angles.

Chapter 1 Basics of Geometry.

Angle Relationships & Parallel Lines

2.6 Deductive Reasoning GEOMETRY.

Angle Relationships OBJ: To ID and use adjacent, vertical, complementary, supplementary, and linear pairs of angles, and perpendicular lines To determine.

Goal: The learner will use properties of special pairs of angles.

Proving Statements about Angles

Homework p31(3-8,13,14,19,26,31,47,49).

Proving Angle Pair Relationships

3.5 Overlapping Triangles

 congruent complement and supplement theorems. Opener: Given:

Geometry Exploring Angle Pairs.

Presentation transcript:

Advanced Geometry Section 2.2 Complementary and Supplementary Angles Learner Objective: Students will recognize complementary and   supplementary angles and will solve problems involving   complementary and supplementary angles.

1 Opener: Given: Find: Answer Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles. Opener: Given: 1 Find: Answer

2 A B C D , what do we know about ? So what do we know about and ? Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles. If , what do we know about ? 1 2 C O W 2 So what do we know about and ? A They are congruent B They add up to C They add up to D B Answer

90-34=56 3 What is the complement of a 34 degree angle? Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles. We often deal with pairs of angles  which add up to 90. In fact, we even have a special name  for such pairs of angles. 1 2 C O W Definition: Complementary Angles If two angles have a sum of 90,  then they are Complementary angles. If two angles are Complementary,  then they have a sum of 90. Note: Each angle is called the Complement of the other. 3 What is the complement of a 34 degree angle? 90-34=56

Complementary and Supplementary Examples Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles. Complementary and Supplementary Examples

4 A B C D They are both right angles They add up to 180 Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles. 4 So what do we know about and ? A They are both right angles B They add up to 180 C They are congruent D All of these B Answer

180 - 48 = 132 5 What is the supplement of a 48 degree angle? Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles. We also deal with pairs of angles  which add up to 180. We have a special name for such  pairs of angles. 2 1 Definition: Supplementary Angles If two angles have a sum of 180,  then they are Supplementary angles. If two angles are Supplementary,  then they have a sum of 180. Note: Each angle is called the Supplement of the other. 5 What is the supplement of a 48 degree angle? 180 - 48 = 132

Complementary and Supplementary Examples Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles. Complementary and Supplementary Examples

Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles.

Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles.

Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles.

Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles.

Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles. Assignment 2.2 : Pg. 69 # 7-9, 13-16, 18, 19, 21, 24

Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles.

Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles.

Learner Objective: Students will recognize complementary and supplementary angles and will solve   problems involving complementary and supplementary angles.