Find the measure of each numbered angle and name the theorem that justifies your work. Problem of the Day.

Slides:

Advertisements

Similar presentations

Lesson 2 – 8 Proving Angle Relationships

Advertisements

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–7) CCSS Then/Now Postulate 2.10: Protractor Postulate Postulate 2.11: Angle Addition Postulate.

6.2 Parallelograms.

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.

Proving Angle Relationships

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

2-8 Proving Angle Relationships day 2

Prove Theorems Advanced Geometry Deductive Reasoning Lesson 4.

Proving statements about angles

Some properties from algebra applied to geometry PropertySegmentsAngles Reflexive Symmetric Transitive PQ=QP m

2.6 What you should learn Why you should learn it

Chapter 2: Reasoning and Proof Prove Angle Pair Relationships.

Unit 01 – Lesson 13 – Proving Angle Relationships ESSENTIAL QUESTION How can you prove a mathematical statement? Scholars will… Write proofs involving.

Chapter Two: Reasoning and Proof Section 2-5: Proving Angles Congruent.

Warm Up: Identify the property that justifies each statement.

2/17/ : Verifying Angle Relationships 1 Expectation: You will write proofs in “If, then…” form.

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.

Splash Screen. Over Lesson 2–7 5-Minute Check 1 A.Transitive Property B.Symmetric Property C.Reflexive Property D.Segment Addition Postulate Justify the.

Geometry, Quarter 2, Unit 2.3 Proving Theorems About Parallelograms Days: 11.

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.

ADVANCED GEOMETRY SECTION 2.7 Transitive and Substitution Properties.

Congruent Angles.

Geometry Organising is what you do before you do something, so that when you do it, it is not all mixed up. A.A. Milne Today: Over Proof Intro 2.5.

2.6 Proving Geometric Relationships

Geometry I've got a theory that if you give 100 percent all of the time, somehow things will work out in the end. Larry Bird Today: Homework Check 3.5.

Section 6.3 Proving Quadrilaterals are parallelograms

2.8 Notes: Proving Angle Relationships

Unit 1 Day 10 TWO COLUMN PROOFS.

1. SWBAT use algebra to write two column proofs

Find the perimeter of isosceles ∆KLM with base

Write proofs involving supplementary and complementary angles.

Use algebra to write two-column proofs.

2.8 Proving Angle Relationships

If an organism is a parasite, then it survives by living on or in a host organism. If a parasite lives in or on a host organism, then it harms its.

Kiley plans to fly over the route marked on the map of Hawaii.

Mr. Rodriquez used the parallelogram below to design a herringbone pattern for a paving stone. He will use the paving stone for a sidewalk. If m∠1.

Topic 2: Reasoning and Proof

2.6 Proving Statements about Angles

Geometry Unit 3 Planning a Proof.

KP ≅ PM PM ≅ NM KP ≅ NM ∠KLP ≅ ∠MLN ∠KLP ≅ ∠PLN ∠PLN ≅ ∠MLN

Find the sum of the measures of the interior angles of a convex 33-gon

Section 6.3 Proving Quadrilaterals are parallelograms

2.6 Proving Statements about Angles

Proving things about Angles

Problem of the Day.

Section 2.8 ~ Proving Angles Relationships

Igor noticed on a map that the triangle whose vertices are the supermarket, the library, and the post office (△SLP) is congruent to the triangle whose.

Write an equation in slope-intercept form of the line having the given slope and y-intercept: m: –4, b: 3 m: 3, b: –8 m: 3 7 , (0, 1) m: – 2 5 , (0, –6)

Name the transversal that forms each pair of angles

2.6 Proving Statements about Angles

Proving things about Angles

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

Quadrilateral ABCD is a rectangle

Proving Statements about Angles

Unit 2: Congruence, Similarity, & Proofs

Section 3-3 Proving Lines Parallel, Calculations.

Find the value of the variable and the measure of each angle.

Five-Minute Check (over Lesson 2–6) Mathematical Practices Then/Now

Chapter 2 Reasoning and Proof.

Presentation transcript:

Find the measure of each numbered angle and name the theorem that justifies your work. Problem of the Day

Section 2-8b Proving Angle Relationships

Then Now Objectives You wrote proofs involving supplementary and complementary angles. Write proofs involving congruent and right angles.

Common Core State Standards Content Standards G.CO. 9 – Prove theorems about lines and angles. Mathematical Practices 3) Construct viable arguments and critique the reasoning of others. 6) Attend to precision. Common Core State Standards

Properties of Angle Congruence

Theorems

Given: ∠9 and ∠10 are comp. ∠8 and ∠9 are comp Given: ∠9 and ∠10 are comp. ∠8 and ∠9 are comp. m∠8 = 41 Prove: m∠10 = 41 Example 3

Given: ∠1 and ∠2 are supp. ∠2 and ∠3 are supp Given: ∠1 and ∠2 are supp. ∠2 and ∠3 are supp. m∠3 = 78 Find: m∠1 and m∠2 (Name the theorems you used to justify your work.) Example 3

Vertical Angles Theorem

If ∠3 and ∠4 are vertical angles, m∠3 = 6x + 2, and m∠4 = 8x – 14, find m∠3 and m∠4. Justify each step. Example 4

If ∠1 and ∠2 are vertical angles, m∠1 = d – 32, and m∠2 = 175 – 2d, find m∠1 and m∠2. Justify each step. Example 4

Right Angle Theorems

p.156 #7, 8-10, 12, 41-44 Homework

If m∠A = 5x – 12, m∠B = 2x + 18, ∠A and ∠C are supplementary, and ∠B and ∠C are supplementary, find m∠C. Problem of the Day