Chapter 4 Review Cut-n-Paste Proofs. StatementsReasons SAS Postulate X is midpoint of AC Definition of Midpoint Given Vertical Angles Theorem X is midpoint.

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

Given: is a rhombus. Prove: is a parallelogram.

Proving Triangles Congruent

Proving Triangles Congruent

StatementsReasons 1.1.Given 2.  BDA &  CDA are rt  s2. Def. of  3.  BDA   CDA3. All right  s are  4.4. Reflexive Property 5.  BDA   CDA 5.SAS.

Proving Triangles Congruent Geometry D – Chapter 4.4.

Chapter 4: Congruent Triangles

Section 4-3 Triangle Congruence (ASA, AAS) SPI 32C: determine congruence or similarity between triangles SPI 32M: justify triangle congruence given a diagram.

CHAPTER 4 Congruent Triangles SECTION 4-1 Congruent Figures.

Chapter 4. Congruent Figures – figures that have exactly the same size and shape.Congruent Figures – figures that have exactly the same size and shape.

GOAL 1 PLANNING A PROOF EXAMPLE Using Congruent Triangles By definition, we know that corresponding parts of congruent triangles are congruent. So.

Chapter 4 Congruent Triangles.

Chapter 5 Applying Congruent Triangles

Properties and Theorems

Proof of Theorem 4.8 – The Base Angles Theorem Given: WX  WY ZW bisects XY Prove:  X   Y StatementsReasons S WX  WY Given.

1Geometry Lesson: Isosceles and Equilateral Triangle Theorems Aim: What theorems apply to isosceles and equilateral triangles? Do Now: C A K B Given: Prove:

Module 5 Lesson 2 – Part 2 Writing Proofs

What are the ways we can prove triangles congruent? A B C D Angle C is congruent to angle A Angle ADB is congruent to angle CDB BD is congruent to BD A.

EXAMPLE 1 Identify congruent triangles Can the triangles be proven congruent with the information given in the diagram? If so, state the postulate or.

TODAY IN GEOMETRY… REVIEW: Solutions for PROOF-A-RAMA 2

Properties of Parallel Lines What does it mean for two lines to be parallel? THEY NEVER INTERSECT! l m.

Isosceles Triangles Geometry D – Chapter 4.6. Definitions - Review Define an isosceles triangle. A triangle with two congruent sides. Name the parts of.

1 Chapter 4 Review Proving Triangles Congruent and Isosceles Triangles (SSS, SAS, ASA,AAS)

4.6 Using Congruent Triangles

Proving Triangles Congruent. Steps for Proving Triangles Congruent 1.Mark the Given. 2.Mark … reflexive sides, vertical angles, alternate interior angles,

Reasons for Proofs 1) 1)Given 2) Definition of Midpoint 3) Reflexive 4) SSS 2)1) Given 2) Definition of Perpendicular Lines 3) Substitution 4) Reflexive.

Proving Triangles Congruent STUDENTS WILL BE ABLE TO… PROVE TRIANGLES CONGRUENT WITH A TWO COLUMN PROOF USE CPCTC TO DRAW CONCLUSIONS ABOUT CONGRUENT TRIANGLES.

Identify the Property which supports each Conclusion.

(4.4) CPCTC Corresponding Parts of Congruent Triangles Congruent

10/8/12 Triangles Unit Congruent Triangle Proofs.

Using Congruent Triangles Class Worksheet Part 2.

Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

Unit 2 Part 4 Proving Triangles Congruent. Angle – Side – Angle Postulate If two angles and the included side of a triangle are congruent to two angles.

1Geometry Lesson: Pairs of Triangles in Proofs Aim: How do we use two pairs of congruent triangles in proofs? Do Now: A D R L B P K M.

Geometry: Partial Proofs with Congruent Triangles.

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.

Proofs Involving Parallel Lines Part 1: Given Parallel Lines When you know that you are working with parallel lines you can use the theorems we learned.

4.7 ASA and AAS Objectives: Apply ASA and AAS to construct triangles and to solve problems. Prove triangles congruent by using ASA and AAS.

Isosceles and Equilateral Triangles

4.4 Isosceles Triangles, Corollaries, & CPCTC. ♥Has at least 2 congruent sides. ♥The angles opposite the congruent sides are congruent ♥Converse is also.

Δ CAT is congruent to Δ DOG. Write the three congruence statements for their SIDES

Chapter 4 Ms. Cuervo. Vocabulary: Congruent -Two figures that have the same size and shape. -Two triangles are congruent if and only if their vertices.

Geometry - Unit 4 $100 Congruent Polygons Congruent Triangles Angle Measures Proofs $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400.

Using Special Quadrilaterals

Advanced Geometry 3.3. Objective To write proofs involving congruent triangles and CPCTC.

Geometry Worksheets Congruent Triangles #3.

4-4 Using Corresponding Parts of Congruent Triangles I can determine whether corresponding parts of triangles are congruent. I can write a two column proof.

Chapters 2 – 4 Proofs practice. Chapter 2 Proofs Practice Commonly used properties, definitions, and postulates  Transitive property  Substitution property.

Proofs. Warm Up Using the diagram below, create a problem to give to your partner – For example, what kind of angles are “blah” and “blah” – Or, if m

Proving Triangles Congruent. Two geometric figures with exactly the same size and shape. The Idea of a Congruence A C B DE F.

Honors Geometry Section 4.3 cont. Using CPCTC. In order to use one of the 5 congruence postulates / theorems ( )we need to show that 3 parts of one triangle.

Isosceles and Equilateral Triangles

Beyond CPCTC Lesson 3.4.

4-2 Angles in a Triangle Mr. Dorn Chapter 4.

definition of a midpoint

Isosceles and Equilateral Triangles Ch. 5-3

Warm Up (on the ChromeBook cart)

The Isosceles Triangle Theorems

Special Parallelograms

Two-Column Triangle Proofs

Objective: To use and apply properties of isosceles triangles.

Warm Up (on handout).

Aim: Do Now: ( ) A B C D E Ans: S.A.S. Postulate Ans: Ans:

4-7 & 10-3 Proofs: Medians Altitudes Angle Bisectors Perpendicular

What theorems apply to isosceles and equilateral triangles?

CPCTC and Circles Advanced Geometry 3.3.

Chapter 5: Quadrilaterals

Presentation transcript:

Chapter 4 Review Cut-n-Paste Proofs

StatementsReasons SAS Postulate X is midpoint of AC Definition of Midpoint Given Vertical Angles Theorem X is midpoint of BD

StatementsReasons Substitution property Vertical Angles Theorem ASA Postulate Given CPCTC Definition of Perpendicular

StatementsReasons Given AAS Theorem AD bisects BE Alternate Interior Angles Theorem Definition of Bisector

StatementsReasons SAS Postulate CPCTC Reflexive Property OM bisects /LMN Given Definition of Bisector

statementsreasons Definition of Bisector Substitution Property Given Definition of Perpendicular NO bisects /POM Reflexive Property ASA Postulate

statementsreasons Defintion of Midpoint ΔMGR is an isosceles triangle with vertex /MGR Definition of Isosceles Triangle Reflexive Property Given K is the midpoint of MR SSS Postulate