Warm Up Write the converse, inverse, and contrapositive of: “If M is the midpoint of AB, then M, A, and B are collinear.” Are these statements true or.

Slides:

Advertisements

Similar presentations

What is the length of AB What is length of CD

Advertisements

2.1 If-Then Statements; Converses

Session 25 Warm-up 1.Name a segment tangent to circle A. 2.What is the 3.If BD = 36, find BC. 4.If AC = 10 and BD = 24, find AB. 5.If AD = 7 and BD = 24,

1.2 Measurement of Segments and Angles

Chapter measuring and constructing segments

Geometry Warm up Write the conditional, converse, inverse and contrapositive of the following sentences: 1.The sun is shining, it is warm. If the sun is.

Section 2.1 Notes Conditional Statements. Conditional Statement A type of logic statement that has two parts: a hypothesis and a conclusion We will write.

Warm-up 1.Name a segment tangent to circle A. 2.What is the 3.If BD = 36, find BC. 4.If AC = 10 and BD = 24, find AB. 5.If AD = 7 and BD = 24, find BE.

By Trip Lenahan by Trip Lenahan What is Probability? ► Probability is the likelihood of something happening. ► Probability is expressed as a.

The most basic figures in geometry are undefined terms, which cannot be defined by using other figures. The undefined terms point, line, and plane are.

9.1 Points, Lines, Planes, and Angles Part 1: Points, Lines, and Planes.

Bell Work 1) Name the congruent triangles and the congruence shortcut that verifies their congruence: 2) Use segment addition to find x AB = x + 11; BC.

Jeopardy Go the Distance Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Prove me Wrong Under one Condition Give me a Good Reason.

Page 53, Chapter Summary: Concepts and Procedures After studying this CHAPTER, you should be able to Recognize points, lines, segments, rays, angles,

Lesson 1.9 Probability Objective: Solve probability problems.

Geometry Chapter 5 Review.

Tuesday, January 15, §7.4 Parallel Lines & Proportional Parts CA B D E Theorem: Triangle Proportionality Theorem ◦ If a line parallel to one side.

10/21/2015Geometry1 Section 2.1 Conditional Statements.

10/21/2015Geometry1 Conditional Statements. 10/21/2015Geometry2 Goals Recognize and analyze a conditional statement Write postulates about points, lines,

2.1 Conditional Statements. Conditional Statement  Conditional statement has two parts, hypothesis and a conclusion.  If _____________, then____________.

Trip Lenahan Trip Lenahan Mr. Pricci Mr. Pricci Honors Geometry, Mod 8 30 May 2008.

Conditional Statements Conditional Statement: “If, then” format. Converse: “Flipping the Logic” –Still “if, then” format, but we switch the hypothesis.

Jeopardy Angle Pairs Bisecting $100 $100 $100 $100 $100 $200 $200 $200

Logic and Proofs. 2-2 Conditional Statements Conditional statements are just that – statements that contain a condition. If p then q p is the Hypothesis.

2.4: Building a System of Geometric Knowledge

9.3 Altitude-On-Hypotenuse Theorems (a.k.a Geometry Mean)

Geometry - Section 2.1: Conditional Statements Conditional Statements Section 2.1 A logical statement with two parts: a hypothesis and a conclusion. Ex.

Chapter 1 Introduction to Geometry. Slide Getting Started Points – To name a point always use Lines – All lines are and extend in both directions.

Inductive Reasoning and Conditional Statements Chapter 2-1 Mr. Dorn.

Test 1 Review Geometry Thursday 9/9/10. Quiz 1 1. Write the following statement as a conditional. Write the hypothesis and the conclusion. Glass objects.

Geometry. Find the area of the given rectangle A.C. B.D.

Conditional Statements Section 2-3 Conditional Statements If-then statements are called conditional statements. The portion of the sentence following.

Day 3. Warm Up Find the distance and midpoint between the two points below.

Conditional Statements/ Inductive Reasoning Basic Geometry Midpoint/ Distance/ Properties of Lines Bisectors and Intersecting Lines.

Unit 1 Part 3 Segment Addition & Distance and Midpoint Formulas.

Lesson 2.1 Conditional Statements. Conditional Statement Two parts: hypothesis and conclusion If-then form.

 Unit 2 – Angles.  Thursday, February 12, 2015.

Section 2-2: Biconditionals and Definitions. Conditional: If two angles have the same measure, then the angles are congruent. Converse: If two angles.

Understanding Points & Lines Essential Question: How do you use undefined terms as the basic elements of geometry?

2.1 – Conditional Statements  Conditional Statement  If-Then Form  Hypothesis  Conclusion  Converse  Negation  Inverse  Contrapositive  Equivalent.

Unit 2-2: Conditional Statements Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

Section 2.1 Exploring Patterns.  Reasoning in geometry consists of 3 stages: (1)Look for a pattern (2)Make a conjecture – a guess as to what you think.

Geometry: Plane Figures Chapter. point A point marks a location. A A B B line segment the part of the line between 2 points endpoints.

Lines and Segments SY Source: Geometry (2007) by Ron Larson et al.

Properties Objective: To use the properties of numbers. Do Now 1.) = 3.) ( 2  1 )  4 = 2.) =4.) 2  ( 1  4 ) =

Chapter 1Section 1 - Points and Lines in the Plane 1 Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane Section 1 Points and Lines in.

Holt McDougal Geometry 1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments Holt Geometry Warm Up Warm Up Lesson Presentation.

Date: Topic: Points, Lines, and Planes (6.1) A point is the basic building block of geometry. It has not shape of size., only location. You use a dot to.

LESSON 2 UNDEFINED TERMS. In Geometry, there are 3 undefined terms: points, lines, and planes. We can give descriptions of these three terms. We also.

Chapter 2: Reasoning and Proof Section Conditional Statements.

9.3 Altitude-On-Hypotenuse Theorems (a.k.a Geometry Mean)

Warm Up  Use a ruler to draw a large triangle. Measure the angles of the triangle. Make a conclusion about the sum of the measure of the angles.

Segment/Angle Addition Postulates Distance and midpoint in Geometry!!

Geometry Lesson 2.1A Conditional Statements Objectives Students will be able to: Define: conditional statement, hypothesis, conclusion Write a statement.

Conditional Statements

2.1 Conditional Statements

Reasoning Proof and Chapter 2 If ….., then what?

2-1 Patterns and Inductive Reasoning

Section 5.1- Midsegments of Triangles

Aim: Full House Grid: 9 Grid Play: Calculate answer & cross it off

2-2 Conditional Statements

2.1 Conditional Statements

Chapter 2.4 Notes: Use Postulates and Diagrams

Ms. Vazquez-Perez Geometry

2.1 Conditional Statements

Lesson: 6.6 Trapezoids Objectives:

1.1 ID Points, Lines, Planes Mrs. vazquez Geometry.

By Angle Measures By Side Lengths

Conditional Statements

Advanced Geometry Section 1.9 Probability

Presentation transcript:

Warm Up Write the converse, inverse, and contrapositive of: “If M is the midpoint of AB, then M, A, and B are collinear.” Are these statements true or false?

Converse: If M, A, and B are collinear, then M is the midpoint of AB Inverse: If M is not the midpoint of AB, then M, A, and B are noncollinear. Contrapositive: If M, A, and B are noncollinear, then M is not the midpoint of AB. False True

Probability How to solve probability.

Where do we use probability? Insurance companies, card players, casino, lottery etc… Who uses probability? Doctors, secretaries, accountants, programmers, and GEOMETRY STUDENTS! Just to name a few. Setting up and solving probability problems requires precise and orderly organized thinking skills.

Probability is not part of geometry but rather statistics. However, you will see problems in the “Problems Sets” that deal with it, so follow these two basic steps: 1. Determine all possibilities in a logical manner. Count them. 2. Determine the number of these possibilities that are “favorable”. We shall call these winners.

List all possibilities: A B C D Calculate Probability: Probability = number of winners number of possibilities Ex. 1a. If one point is picked at random from the given figure, what is the probability that it is on the angle? A B C D circle the winners. P= = 1 100% it will happen!

Ex. 1b. If two are picked at random, what is the probability they lie on ray CA? A B C D Order possibilities! AB BC CD AC BD AD Remember AB is the same as BA Circle winners. P = = or 1:2 or 50%

Ex. 2 What is the probability of picking Point Q on AC and it be within 5 units of B? ACB Find the probability by comparing the length of the “winning” region

Total numbers between -20 and 10 = 30 Within 5 units of B = 8 P = winners possibilities ====