Geometry: Geometric Proof Introduction Chapter 2: Logic.

Slides:



Advertisements
Similar presentations
Bellringer.
Advertisements

Geometry Geometric Proof
Chapter 2 Properties from Algebra
Introduction to Geometry Proofs
Introduction to Geometry Proofs
2-6 Algebraic Proof p. 136 You used postulates about points, lines, and planes to write paragraph proofs. Use algebra to write two-column proofs. Use properties.
Beginning Proofs Lesson 1.4 Two column proofs and theorems.
HONORS GEOMETRY 1.1 – Points, Lines and Planes. Do Now:
Introduction to Geometric Proof Logical Reasoning and Conditional Statements.
Vocabulary algebraic proof – Made up of algebraic statements two-column proof/formal proof – contains statements and reasons in two columns.
Marketing and Advertising
1.4.E. ABSOLUTE VALUE INEQUALITIES DAY TWO College Algebra.
Lesson 2 – 6 Algebraic Proof
Lesson: 15 – 4 Preparing for Two-Column Proofs
3.5 Overlapping Triangles Objective: After studying this lesson you will be able to use overlapping triangles in proofs.
Entry Task Write down your age Multiply it by 10 Add 8 to the product Double that answer and subtract 16 Divide the result by 20 Explain what you notice.
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.
GEOMETRY 3.1. Parallel Lines and Transversals. Do Now:
Chapter 4.6. Isosceles and Equilateral Triangles
COLLEGE ALGEBRA 4.3. System Word Problems. Do Now:
Algebraic Proofs. 1.X + 5 = X = 14 1.Given 2.- Prop. = 3.Simplify Statement Reason.
3-3: Parallel Lines & Angles Unit 3: Geometry English Casbarro.
COLLEGE ALGEBRA 4.9. Describe the System. Do Now Compete the do now problem handed to you when you entered class today.
COLLEGE ALGEBRA 5.1: Exponent Rules (Multiplication)
HONORS GEOMETRY 4.5. Proving Triangles Congruent (ASA and AAS)
COLLEGE ALGEBRA 4.4. Systems via Elimination Day One.
HONORS GEOMETRY 4.4. Proving Triangles Congruent (SSS, SAS)
HONORS GEOMETRY 7.5: Parts of Similar Triangles. Do Now:
COLLEGE ALGEBRA 5.2. Exponents (Division Rule). Do Now: In the homework packet, g – L.
HONORS GEOMETRY 4.2. Angles of Triangles. Do Now: Classify the following triangles and then find x and ?.
1.3. ABSOLUTE VALUE EQUATIONS DAY TWO College Algebra.
Geometry Warm ups Summarize the five methods used in yesterday’s lesson to prove that two lines are parallel
TODAY IN GEOMETRY…  Warm Up: Parallel Lines WS  Learning Goal 2: 3.3 Use Converse of Angle Theorems to prove lines are parallel.  Independent Practice.
TODAY IN GEOMETRY…  Learning Goal: 2.5 Use Algebraic Properties to form logical arguments  Independent Practice  Retake Ch. 1 Test before Friday! 
1.4.E. ABSOLUTE VALUE INEQUALITIES DAY ONE College Algebra.
HONORS GEOMETRY 6.3: Test for Parallelograms Day Two.
HONORS GEOMETRY 9.3. Rotations. Do Now: Complete the do now given to you when you entered class today.
HONORS GEOMETRY 7.2. Similar Polygons. Do Now: The perimeter of a rectangle is 98 feet. The ratio of its length to its width is 5:2. Find the area of.
COLLEGE ALGEBRA 6.6. PS2 Day Two. Do Now: Homework Questions? Comments? Confusions? Concerns? ASK ASK ASK ASK!
HONORS GEOMETRY 5.3. Inequalities in One Triangle.
3.2. ANGLES AND PARALLEL LINES Honors Geometry. Do Now True or False? If False, explain why. 
COLLEGE ALGEBRA 2.2- Introduction to Relations Day One.
Warm-Up 9/5/ Find the measure of MN if N is between M and P, MP = 6x - 2, MN = 4x, and NP = State which postulate justifies each statement:
Intro to Proofs Unit IC Day 2. Do now Solve for x 5x – 18 = 3x + 2.
COLLEGE ALGEBRA 6.8. Zero Product Property Day One.
HONORS GEOMETRY Surface Area of Prisms. Prism Polyhedron with two parallel congruent bases.
HONORS GEOMETRY 6.6: Trapezoids. Do Now: Complete the do now given to you when you entered class.
COLLEGE ALGEBRA 4.7. Systems of Inequalities- Identifying equations + Solutions.
Warm-up List the logical expressions for… Statement Converse Inverse Contrapositive Which ones go together?
Introduction to Proofs
2.5 Algebraic Proof Construct logical arguments and write proofs of theorems and other results in geometry, including proofs by contradiction.
Chapter 2.6 Algebraic Proof.
Proving Statements about Segments
3-2 Angles & Parallel Lines
Algebraic proofs.
Use algebra to write two-column proofs.
Agenda EQ: How do we write 2-column Geometric Proofs? Agenda
Chapter 2: Geometric Reasoning
Bell Work: The Number Game!
Marketing and Advertising
Do Now:.
Chapter 5 Congruent Triangles.
Do this NOW! Turn in “get to know you” sheet to middle tray
2-6 Algebraic Proof Use algebra to write two-column proofs.
Chapter 2: Geometric Reasoning
Chapter 4 Congruent Triangles.
Perpendicular and Parallel Lines
Proofs Much of the enjoyment and challenge of geometry is found in "proving things!" Two column proofs are the most common type of proof that we will 
use.
Chapter 2 Reasoning and Proof.
Presentation transcript:

Geometry: Geometric Proof Introduction Chapter 2: Logic

Do Now Given: If (5x+1)/2 – 8 = 0 Prove: x = 3

Homework Questions? Comments? Confusions Ask Ask Ask!

Test Any questions about the test?!?!?! ASK ASK ASK!

Yesterday Algebraic Proofs TODAY: Geometric Proofs!

Geometric Proofs Two Column Proof: contains statements and reasons organized in two columns.

Example 5 Given: <FGJ is congruent to <JGK, <JGK is congruent to <KGH, m<FGJ= 6x+7, and m<KGH= 8x – 5. Prove: x=6

Practice WS #19

Practice WS #20

Practice WS #21

Practice WS #19

Practice Problems Try some on your own/in table groups As always if you are confused call me over and ask a question!

Exit Ticket and BC=2x+5 Xx= -3/5