Chapter 4: Congruent Triangles Objective: To recognize congruent triangles and their corresponding parts. Key Vocabulary: Congruent Triangles.

Slides:

Advertisements

Similar presentations

4.5 Proving Δs are  : ASA and AAS & HL

Advertisements

Proving Triangles Congruent

5.4 Hypotenuse – Leg Congruence Theorem: HL

Proving Triangles Congruent

4.6 Congruence in Right Triangles

Hypotenuse – Leg Congruence Theorem: HL

Proving Triangles Congruent

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.

CHAPTER 4 Congruent Triangles SECTION 4-1 Congruent Figures.

4-4 & 4-5: Tests for Congruent Triangles

WARM UP 1)List the six congruencies if the following is true. 2)Plot the points and locate point C so that F(7,5) A(-2,2) T(5,2)

Chapter 4.5 Notes: Prove Triangles Congruent by ASA and AAS Goal: You will use two more methods to prove congruences.

4.3 & 4.4 Proving Triangles are Congruent

Chapter 4 Congruent Triangles.

Congruent Triangles.  Standard 25: Identify interior and exterior angles of a triangle and identify the relationships between them.  Standard 26: Utilize.

Triangles Unit 4.

Proving Triangles Congruent. Warm Up Objectives Can you prove triangles congruent using SSS, SAS, ASA, AAS, and HL?

Do Now #28:. 5.4 Hypotenuse-Leg (HL) Congruence Theorem Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems.

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

Geometry 4-3 Triangle Congruence

Proving Triangles Congruent

DO NOW!!! Solve for “x”..

Triangle Congruence by ASA and AAS Chapter 4 Section 3.

Chapter 4.1 Common Core - G.SRT.5 Use congruence…criteria for triangles to solve problems and prove relationships in geometric figures. Objectives – To.

Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.

4-2 Triangle Congruence by SSS and SAS. Side-Side-Side (SSS) Postulate If the three sides of one triangle are congruent to the three sides of another.

UNIT 7: CONGRUENT TRIANGLES, AND THEOREMS Final Exam Review.

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.

Warm Up  For both right triangles, find the value of x. x x

CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.

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.

4-3 Triangle Congruence by ASA and AAS. Angle-Side-Angle (ASA) Postulate If two angles and the included side of one triangle are congruent to two angles.

5.6 Proving Triangle Congruence by ASA and AAS. OBJ: Students will be able to use ASA and AAS Congruence Theorems.

Triangle Congruence by SSS & SAS Objective: To Determine whether triangles are congruent using SSS and SAS postulate.

Proving Triangle Congruency. What does it mean for triangles to be congruent? Congruent triangles are identical meaning that their side lengths and angle.

Are the following triangles congruent? Why or why not? Write a congruence statement for the triangles. 21 ° 74 ° 85 ° 21 ° 74 ° 85 ° T S R L M N.

8.2 CPCTC Geometry.

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.

Objectives Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles congruent by using ASA, AAS, and HL.

Warm-Up Are the 2 triangle congruent? If so, write the theorem or postulate that proves them congruent. Write a congruency statement. A D C B.

Sect. 4.6 Isosceles, Equilateral, and Right Triangles

Review: Solving Systems x 2y+3 x+y 12 Find the values of x and y that make the following triangles congruent.

Prove triangles congruent by ASA and AAS

Geometry-Part 7.

Proving Triangles are Congruent

Geometry: Congruent Triangles

Proving Triangles Congruent

Triangle Congruence HL and AAS

4.4 Hypotenuse-Leg (HL) Congruence Theorem

5.3 Proving Triangles are congruent:

Other Methods of Proving Triangles Congruent

Proving Triangles Congruent

5.6 Proving Triangle Congruence by ASA & AAS

4-2 Some Ways to Prove Triangles Congruent (p. 122)

Triangle Congruence HL and AAS

Identifying types and proofs using theorems

4.1 Congruent Figures -Congruent Polygons: have corresponding angles and sides -Theorem 4.1: If 2 angles of 1 triangle are congruent to 2 angles of another.

Isosceles, Equilateral, and Right Triangles

Get out your Module 4 quiz and

Isosceles/ Equilateral

4-6 Congruence in Right Triangles

Postulates and Theorems to show Congruence SSS: Side-Side-Side

(AAS) Angle-Angle-Side Congruence Theorem

Isosceles, Equilateral, and Right Triangles

Proving Triangles are Congruent

Triangle Congruency Theorems (shortcuts)

5-2 Right Triangles Objectives:

4-4/4-5 Proving Triangles Congruent

Chapter 4 Congruent Triangles.

Proving Triangles Congruent

Presentation transcript:

Chapter 4: Congruent Triangles Objective: To recognize congruent triangles and their corresponding parts. Key Vocabulary: Congruent Triangles

Are the triangles congruent?

4.2 Triangle Congruence SSS and SAS To Prove two triangles congruent using SSS and SAS postulate

Name the postulate you would use to prove the triangles are congruent.

Triangle Congruence By ASA and AAS Objective: To prove two triangles congruent using ASA Postulate and the AAS Theorem

Congruent Triangles

Which two triangles are congruent? Explain.

4.4 Using Corresponding Parts of Congruent Triangles

4.5 Isosceles and Equilateral Triangles Objective: To use and apply properties of isosceles and equilateral triangles

4.5 Isosceles and Equilateral Triangles

4.6 Congruence in Right Triangles Objective To prove right triangles congruent using the Hypotenuse Leg Theorem