The answers to the review are below. Alternate Exterior Angles Postulate Linear Pair Theorem BiconditionalConclusion Corresponding Angles Postulate 4 Supplementary.

Slides:



Advertisements
Similar presentations
Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g.
Advertisements

Lesson 3.3, For use with pages
Apply the Corresponding Angles Converse
EXAMPLE 3 Prove the Alternate Interior Angles Converse SOLUTION GIVEN :  4  5 PROVE : g h Prove that if two lines are cut by a transversal so the.
Homework Quiz. Strategy for solving algebraic problems: Step 1 – Identify the angle relationship. Step 2 – Congruent or Supplementary? Step 3 – Write.
2.6 – Proving Statements about Angles Definition: Theorem A true statement that follows as a result of other true statements.
EXAMPLE 3 Prove the Alternate Interior Angles Converse
Warm Up Given: ∠ 1 ≅ ∠ 2 m ∠ 2 = 60° m ∠ 3 = 60° Prove: ∠ 1 ≅ ∠
Proving Angle Relationships
Lesson 2.6 p. 109 Proving Statements about Angles Goal: to begin two-column proofs about congruent angles.
2.6 Proving Statements about Angles. Properties of Angle Congruence ReflexiveFor any angle, A
Name that property Use your white board and write down your response. Hold it up When I see all boards I will tell you the correct response.
Reasoning & Proof Chapter 2.
Parallel Lines & Transversals 3.3. Transversal A line, ray, or segment that intersects 2 or more COPLANAR lines, rays, or segments. Non-Parallel lines.
3.2 Use Parallel Lines and Transversals. Objectives Use the properties of parallel lines to determine congruent angles Use algebra to find angle measures.
EXAMPLE 1 Identify congruent angles SOLUTION By the Corresponding Angles Postulate, m 5 = 120°. Using the Vertical Angles Congruence Theorem, m 4 = 120°.
2.6 What you should learn Why you should learn it
Chapter 3 Vocabulary BINGO. Add these terms to your card, in no particular order… Vertical Angles Theorem Corresponding Angles Postulate Alternate Interior.
Proving Lines Parallel
Angle Relationship Proofs. Linear Pair Postulate  Angles which form linear pairs are supplementary.
EXAMPLE 3 Prove the Vertical Angles Congruence Theorem
Use right angle congruence
POINTS, LINES AND PLANES Learning Target 5D I can read and write two column proofs involving Triangle Congruence. Geometry 5-3, 5-5 & 5-6 Proving Triangles.
Warm-Up Classify the angle pair as corresponding, alternate interior, alternate exterior, consecutive interior or.
Section 3-3 Proving Lines Parallel – Day 1, Calculations. Michael Schuetz.
Objective:Prove Angle Pair Relationships Prove Theorems- use properties, postulates, definitions and other proven theorems Prove: Right Angles Congruence.
Properties of Parallel Lines 3-2. EXAMPLE 1 Identify congruent angles SOLUTION By the Corresponding Angles Postulate, m 5 = 120°. Using the Vertical.
2.6 Proving Statements about Angles Mrs. Spitz GeometryFall 2004.
DefinitionsTrue / False Postulates and Theorems Lines and Angles Proof.
EXAMPLE 1 Identify congruent angles SOLUTION By the Corresponding Angles Postulate, m 5 = 120°. Using the Vertical Angles Congruence Theorem, m 4 = 120°.
Using Special Quadrilaterals
StatementsReasons 1. ________________________________ 2.  1   2 3. ________________________________ 4. ________________________________ 1. ______________________________.
Transversal t intersects lines s and c. A transversal is a line that intersects two coplanar lines at two distinct points.
+ DO NOW- Complete #1-5 on the proofs worksheet that you picked up from the back of the classroom.
Chapters 2 – 4 Proofs practice. Chapter 2 Proofs Practice Commonly used properties, definitions, and postulates  Transitive property  Substitution property.
Congruent Angles.
3.3 Proving Lines Parallel
Corresponding Angles Postulate
Identify the type of angles.
Do Now Find the value of x that will make a parallel to b. (7x – 8)°
1. Find the value of x. ANSWER 32
Chapter 2.6 (Part 1): Prove Statements about Segments and Angles
Use right angle congruence
Give a reason for each statement.
Warm Up (on the ChromeBook cart)
Section 3-2 Properties of Parallel Lines, Calculations.
Use right angle congruence
2.8 Notes: Proving Angle Relationships
3.5 Notes: Proving Lines Parallel
3.3 Parallel Lines & Transversals
Chapter 3.2 Notes: Use Parallel Lines and Transversals
Proving Lines Parallel
Unit 2 – Similarity, Congruence, and Proofs
Warm Up (on handout).
2.6 Proving Statements about Angles
Objective: To use a transversal in proving lines parallel.
3.3 Parallel Lines & Transversals
Transversals and Parallel Lines
2.6 Proving Statements about Angles
Proofs with Parallel Lines
2.6 Proving Statements about Angles
Converse Definition The statement obtained by reversing the hypothesis and conclusion of a conditional.
EXAMPLE 1 Identify congruent angles
Proving Lines Parallel
Give a reason for each statement.
3.2 – Use Parallel Lines and Transversals
Proving Statements about Angles
Unit 2: Congruence, Similarity, & Proofs
2.7 Prove Theorems about Lines and Angles
Section 3-3 Proving Lines Parallel, Calculations.
Presentation transcript:

The answers to the review are below. Alternate Exterior Angles Postulate Linear Pair Theorem BiconditionalConclusion Corresponding Angles Postulate 4 Supplementary Angles Vertical angle theorem Angle Addition Postulate Segment Addition Postulate 6 Alternate Interior Angles Postulate Substitution Property Transitive Property of Congruence Converse Complementary Angles Hypothesis Definition of a Midpoint Inductive Reasoning Equilateral Triangle Right ScaleneInverse2036Contrapositive

Question #1 Given: If a quadrilateral is a square, then it has four right angles. What term describes the following statement? If a quadrilateral has four right angles, then it is a square.

Question #2 Given: If a quadrilateral is a square, then it has four right angles. What term describes the following statement? If a quadrilateral does not have four right angles, then it is not a square.

Question #3 Given: If a quadrilateral is a square, then it has four right angles. What term describes the following statement? A quadrilateral is a square

Question #4 Given: If a quadrilateral is a square, then it has four right angles. What term describes the following statement? It has four right angles

Question #5 Which vocabulary term best explains why…

Question #6 Which vocabulary term best explains why…

Question #7 Which vocabulary term best explains why…

Question #8 What types of angles are… <1 and <2

Question #9 Given: J is the midpoint of line segment CT CJ is congruent to AB StatementsReasons 1. J is the midpoint of1. Given 2.2. Definition of a midpoint 3.3. Given 4.4. ?

Question #10 Solve for x

Question #11 Solve for x

Question #12 What postulate does this photo represent?

Question #13 What postulate does this photo represent?

Question #14 In the diagram, how many different rays have endpoint C? D E F G

Question #15 Fill in the missing reason ?

Question #16 What type of angle does the following picture represent?

Question #17 What term proves that AB is congruent to BC?

Question #18 What term proves best describes the picture below?