Overlapping Triangles

Slides:



Advertisements
Similar presentations
Proving Triangles Congruent
Advertisements

1 MM1G3c Proving Triangles Congruent (AAS, HL). 2 Postulates AAS If two angles and a non included side of one triangle are congruent to the corresponding.
Triangle Proofs J E T M. State the reason for each statement: J E T M Given: E is the midpoint of MJ. TE MJ. Prove: MET JET Statements: 1. E is the midpoint.
Proving Triangles Congruent
Proving Triangles Congruent
Chapter 4.6 Notes: Use Congruent Triangles Goal: You will use congruent triangles to prove that corresponding parts are congruent.
GOAL 1 PLANNING A PROOF EXAMPLE Using Congruent Triangles By definition, we know that corresponding parts of congruent triangles are congruent. So.
TODAY IN GEOMETRY…  Review: Finding congruent angles and sides and proving triangles are congruent.  Learning Goal: 4.6 Use CPCTC to prove congruent.
4.1 Detours & Midpoints Obj: Use detours in proofs Apply the midpoint formulas Apply the midpoint formulas.
Aim: Do Now: How do we prove overlapping triangles are congruent?
3.6 Types of Triangles Objectives:
Unit 4 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
3.5 Overlapping Triangles Objective: After studying this lesson you will be able to use overlapping triangles in proofs.
10/8/12 Triangles Unit Congruent Triangle Proofs.
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.
Isosceles Triangle Theorem (Base Angles Theorem)
Lesson 4 – 3 Congruent Triangles
Unit 7 Congruency and Similarity Proving Triangles Congruent (SSS, SAS, ASA, AAS, and HL)
By Shelby Smith and Nellie Diaz. Section 8-1 SSS and SAS  If three sides of one triangle are congruent to three sides of another triangle, then the triangles.
TODAY IN GEOMETRY…  REVIEW: SSS, SAS, HL, ASA, AAS  WARM UP: PROOF-A-RAMA 1  Learning Goal: 4.6 Use CPCTC to prove congruent parts of a triangle  Independent.
3.7 Angle Side Theorems. Theorem 20: Isosceles Triangle Theorem (ITT) If 2 sides of a triangle are congruent, then the angles opposite the sides are congruent.
Using Special Quadrilaterals
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.
Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.
Isosceles and Equilateral Triangles
4-2 Angles in a Triangle Mr. Dorn Chapter 4.
Geometry-Part 7.
Using Triangle Congruence to Prove Sides and Angles Congruent C h. 5-2
Aim: How do we prove triangles congruent using the Angle-Angle-Side Theorem? Do Now: In each case, which postulate can be used to prove the triangles congruent?
Vocabulary Corollary Base angles Vertex angles.
Section 4-3 Congruent Triangles
Proofs Review.
Isosceles and Equilateral Triangles Ch. 5-3
Warm Up (on the ChromeBook cart)
Proving Triangles Congruent
Corresponding Parts 4-2D
4-3: Congruent Triangles
Congruent Triangle Proofs
2. Definition of congruent segments AB = CD 2.
Two-Column Triangle Proofs
3.5 Overlapping Triangles
5.5 Proving Using SSS.
K Aim: Do Now: How do we prove overlapping triangles are congruent? State the names of two triangles in each diagram: 2) F M B R H 1) A B C D 3)
Proving Triangles Congruent
Overlapping Triangles
Warm Up (on handout).
Aim: Do Now: ( ) A B C D E Ans: S.A.S. Postulate Ans: Ans:
AIM: Review of Congruent Triangle Proofs!!!
Geometry Proofs Unit 12 AA1.CC.
CPCTC uses congruent triangles to prove corresponding parts congruent.
Proving Triangles Congruent
4-7 & 10-3 Proofs: Medians Altitudes Angle Bisectors Perpendicular
ADVANCED GEOMETRY 3.4 Beyond CPCTC Learner Objective:
4.6 Using Congruent Triangles
4-3: Congruent Triangles
Get your packets out from yesterday
Proving Triangles Congruent
Postulates and Theorems to show Congruence SSS: Side-Side-Side
Proving Triangles Congruent
Triangle Congruence Obj: learn all the ways to prove triangles are congruent To Identify- SSS, AAS, SAS, or ASA.
4.4 Prove Triangles Congruent by SAS and HL
CPCTC and Circles Advanced Geometry 3.3.
Chapter 5: Quadrilaterals
Fill in the blanks to complete each of the following proofs.
5-9: Overlapping Triangles and Double Proofs
Overlapping Triangles
Warm Up 7.4 Is there enough information to prove that the triangles are congruent? If so, state the reason (SSS, SAS, HL, ASA,
Successful Proof Plans
NOTES 3.3 CPCTC.
Presentation transcript:

Overlapping Triangles NOTES 3.5 Overlapping Triangles

Overlapping Triangles side BC is the base of both triangles and would be a reflexive side in your proof! Use color or highlighter to separate triangles.

Example 1: R S T U V W X Y Statements Reasons 1. 2. 3. 4. 5. 6.

Example 1: R S T U V W X Y Statements Reasons 1. 2. 3. 4. 5. 6. U  T Given R  W Given Given Given Given Multiplication Property Continued on next slide

Example 1: R S T U V W X Y Statements Reasons 7. 8. ∆TVR  ∆USW ASA XSY  XVY CPCTC