All right angles are congruent BCD A TheoremGivenStatementReason If 2 angles are complements of the same angle, then they are congruent Complements of.

Slides:

Advertisements

Similar presentations

2.6 Proving Angles Congruent

Advertisements

2-8: Proving Angle Relationships

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?

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

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

Warm Up Solve. x = 14 x = 9 x = 2.

Section 1.6 Pairs of Angles

2.3 Complementary and Supplementary Angles

Objectives-What we’ll learn…

PARALLEL LINES and TRANSVERSALS.

Angle Pair Relationships

Lesson 2.6 p. 109 Proving Statements about Angles Goal: to begin two-column proofs about congruent angles.

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.

2.4 Vertical Angles. Vertical Angles: Two angles are vertical if they are not adjacent and their sides are formed by two intersecting lines.

Proving Angle Relationships

2.6 Proving Statements about Angles. Properties of Angle Congruence ReflexiveFor any angle, A

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.

 Vertical angles – are not adjacent, and their sides are formed by two intersecting lines  1 and 3 are vertical angles  2 and 4 are vertical angles.

CPCTC Congruent Triangles. StatementReason 1. Given 2. Given Pg. 3 #1 3. An angle bisector divides an angle into two congruent parts 4. Reflexive postulate.

Angle Relationships Geometry 1.5.

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.

1.4 Pairs of Angles Adjacent angles- two angles with a common vertex and common side. (Side by side) Linear pair- a pair of adjacent angles that make a.

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.

Ch. 2.6: Proving Statements about Angles

2.4: Special Pairs of Angles

EXAMPLE 3 Prove the Vertical Angles Congruence Theorem

Angles Supplementary Complementary Vertical Adjacent.

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

Objective:Prove Angle Pair Relationships Prove Theorems- use properties, postulates, definitions and other proven theorems Prove: Right Angles Congruence.

Any two angles whose sum is 180 degrees. Supplementary Angles.

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.

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

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

+ CHAPTER 2 Section 4: Complementary and Supplementary Angles.

Congruent Angles.

Warm Up Solve. x = 14 x = 9 x = 2.

Introduction to Geometry

1.6 Angle Pair Relationship

Special pairs of angles

Warm Up Solve..

Describe Angle Pair Relationships

Lesson 14.1: Angles Formed by Intersecting Lines

Statements About Segments and Angles

1.6 Describing Pairs of Angles

Types of Angles & Their Relationships

Describe Angle Pair Relationships

2.6 Proving Statements about Angles

Angle Pair Relationships

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

2.6 Proving Statements about Angles

Special Pairs of Angles

2.6 Deductive Reasoning GEOMETRY.

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

Proving Statements about Angles

Adjacent Angles Definition Two coplanar angles with a common side, a common vertex, and no common interior points. Sketch.

Geo MT 3 Lesson 1 Angle Pairs.

Proving Angle Pair Relationships

Presentation transcript:

All right angles are congruent BCD A TheoremGivenStatementReason If 2 angles are complements of the same angle, then they are congruent Complements of the same angle are congruent

TheoremGivenStatementReason If 2 angles are supplements of the same angle, then they are congruent Supplements of the same angle are congruent If 2 angles are congruent, their complements are congruent Complements of congruent angles are congruent

TheoremGivenStatementReason If two angles form a linear pair, they are supplementary Linear pairs are supplementary If 2 angles are congruent, their supplements are congruent Supplements of congruent angles are congruent BDA C

TheoremGivenStatementReason All straight angles are congruent Vertical angles are congruent E D C A B E DF B AC