CAMPBELL COUNTY HIGH SCHOOL Chapter 2: Properties Review.

Slides:



Advertisements
Similar presentations
Chapters 1 & 2 Theorem & Postulate Review Answers
Advertisements

Proving Angles Congruent.  Vertical Angles: Two angles whose sides form two pairs of opposite rays; form two pairs of congruent angles
Proving Angles Congruent
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?
Use right angle congruence
Section 2.1 Perpendicularity
2.2/2.4: Complementary & Supplementary Angles Day 3 I can recognize complementary angles. I can recognize supplementary angles.
EXAMPLE 2 Find measures of a complement and a supplement SOLUTION a. Given that 1 is a complement of 2 and m 1 = 68 °, find m 2. m 2 = 90 ° – m 1 = 90.
Who Wants To Be A Millionaire?. Rules Rules: 1 There are NO Life Lines. 2 When you answer incorrectly you’re out. 3 No actual money will be awarded.
Warm Up Given: ∠ 1 ≅ ∠ 2 m ∠ 2 = 60° m ∠ 3 = 60° Prove: ∠ 1 ≅ ∠
Special Pairs of Angles
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
2.7 Prove Angle Pair Relationships
Section 2-5: Proving Angles Congruent
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.
Warm-Up Exercises Lesson 2.7, For use with pages Give a reason for each statement. 1. If m 1 = 90º and m 2 = 90º, then m 1 = m If AB BC,
Addition and Subtraction Properties
Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion.
 Deductive Reasoning is a process of reasoning logically from given facts to a conclusion.  Addition Property of equality if a=b then a+c=b+c  Subtraction.
PropertiesAngles Solving Equations Proofs
Chapter Two Review Honors Geometry. Ch. 2 Test Topics  Perpendicularity  Write equations involving complements and supplements of angles (including.
Advanced Geometry Section 2.5 and 2.6
Lesson 2.6 Multiplication and Division Properties Objective: After studying this lesson you will be able to apply the multiplication and division properties.
Chapter 2: Reasoning and Proof Prove Angle Pair Relationships.
Chapter 3 Vocabulary BINGO. Add these terms to your card, in no particular order… Vertical Angles Theorem Corresponding Angles Postulate Alternate Interior.
GEOMETRY CHAPTER 2 Deductive Reasoning pages
Answers to Evens 2) Definition of Bisector 4) Angle Addition Postulate
Thursday, August 30, 2012 Homework: p Complete #15-26 mentally; complete #27-31 odd, 34 & 35 in writing.
Use right angle congruence
2.2 Complementary and Supplementary Angles
They are easier than Geometry ones!!. PROOFS The “GIVEN” is always written first –It is a “GIMME” The “PROVE” should be your last line Make a two column.
Lesson 2.7 Transitive and Substitution Properties Objective: After studying this lesson you will be able to apply the transitive properties of segments.
Objective: To prove and apply theorems about angles Proving Angles Congruent (2-6)
By: Tameicka James Addition Subtraction Division Multiplication
Multiplication and Division Properties. Multiplication Properties Commutative Property Associative Property Identity Property Zero Property Distributive.
Given an equation, you can … * Add the same value (or equivalent values) to both sides, If a = b, then a + 7 = b + 7 * Subtract the same value (or equivalent.
Select Answers to Homework Definition of Segment Bisector x, 180-2x11. RIV , 72, 18.
Chapter 2, Section 1 Conditional Statements. Conditional Statement Also know as an “If-then” statement. If it’s Monday, then I will go to school. Hypothesis:
2.5 Reasoning and Algebra. Addition Property If A = B then A + C = B + C.
Algebraic Proofs. 1. Transitive property of equality 2. Symmetric property of equality 3. Reflexive property of equality 4. Substitution 5. Addition property.
Multiplication and Division Properties
Warm Up Rewrite each term using math symbols you learned in chapter 1 (symbols for a line, angle, ray, etc.) Example: MN Ray MN _________________________________________________________.
Warm up Draw two congruent angles: Draw two adjacent angles:
Chapter 2.6 (Part 1): Prove Statements about Segments and Angles
Use right angle congruence
Give a reason for each statement.
Two Column Proofs Angles
Use right angle congruence
CONGRUENCE OF ANGLES THEOREM
If-Then Statements; Converses
1 Step Equation Practice + - x ÷
CONGRUENCE OF ANGLES THEOREM
Geometric Proofs Standards 2i & 2j.
2.6 Proving Statements about Angles
Opening Find the complement and supplement of the angle measurement.
8.1.1 Solving Simple Equations
Example 1: Equations with Variables on Each Side
DO NOW.
Warm Up.
Special Pairs of Angles
2-6 Proving Angles Congruent
Proving things about Angles
Give a reason for each statement.
Name ______________________________________________ Geometry Chapter 3
Homework Pg107(2,6,10,12-15,25-28,30-32,49).
2.7 Prove Theorems about Lines and Angles
Advanced Geometry Section 2.2 Complementary and Supplementary Angles
Presentation transcript:

CAMPBELL COUNTY HIGH SCHOOL Chapter 2: Properties Review

Complete the one-step proof: Answer: Multiplication Property

Complete the one-step proof: Answer: Subtraction Property

Complete the one-step proof: Answer: If a segment is divided into three congruent segments, then it is trisected.

Complete the one-step proof: Answer: Substitution Property

Complete the one-step proof: Answer: Subtraction Property

Complete the one-step proof: Answer: Addition Property

Complete the one-step proof: Answer: Division Property

Complete the one-step proof: Answer: Transitive Property (or Substitution Property)

Complete the one-step proof: Answer: Angle Addition (NOT Addition Property!!!)

Complete the one-step proof Answer: If angles are supplementary to congruent angles, then they are congruent.

Complete the one-step proof: Answer: Addition Property

Writing Equations An angle measures 6 less than twice its complement. Write an equation representing this scenario. x + (2x – 6) = 90 What is the measure of the angle? 32 degrees

Writing Equations The sum of the complement of an angle and twice its supplement is 240 degrees. What is the measure of the angle? Answer: 70 degrees