Chapter 4. If DOG CAT then: DG ___ G _ OGD ________ = ~ ~ ~ ~ = = =

Slides:

Advertisements

Similar presentations

Hypotenuse – Leg Congruence Theorem: HL

Advertisements

Triangle Congruence Theorems

6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.

CHAPTER 4 Congruent Triangles SECTION 4-1 Congruent Figures.

Chapter 4.6 Notes: Use Congruent Triangles Goal: You will use congruent triangles to prove that corresponding parts are congruent.

Identifying Congruent Triangles

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)

Test For Congruent Triangles. Test 1 3 cm 4 cm 3 cm Given three sides : SSS Two triangles are congruent if the three sides of one triangle are equal to.

Chapter 4: Congruent Triangles Lesson 4-4: Using Congruent Triangles: CPCTC Goal: Use triangle congruence and CPCTC to prove that parts of two congruent.

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

3.7 Angle-Side Theorems Objectives: Apply theorems relating the angle measures and the side lengths of triangles.

Triangles Unit 4.

Warm-Up Find the value of x. x x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.

4-6 Isosceles & Equilateral Triangles

Objectives: Use properties of isosceles and equilateral triangles

Isosceles and Equilateral Triangles Isosceles Triangle Vocabulary: Vertex Angle – The angle formed by the congruent sides of an isosceles triangle. Base.

Geogebra Warm-up Open a 5.3 geogebra file on scevmath.org.

Geometry 4-3 Triangle Congruence

DO NOW!!! Solve for “x”..

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

 Earlier in this chapter, we looked at properties of individual triangles using inequalities.  We know that the largest angle is opposite the longest.

Unit 4 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)

Drill Write your homework in your planner Take out your homework Find all angle measures:

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 AAS SSS Not possible HL Not possible SAS.

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.

CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.

Bell Work 12/2, 12/3 Work the triangle congruency worksheet. Due in about 15 minutes. I will check for completion before we go over it. Be sure to work.

4.3 ISOSCELES AND EQUILATERAL TRIANGLES. VOCABULARY Two angles of an isosceles triangle are always congruent. These are the angles opposite the congruent.

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

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.

8.2 CPCTC Geometry.

Sect. 4.6 Isosceles, Equilateral, and Right Triangles

Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.

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

Objectives: Use properties of isosceles and equilateral triangles

Isosceles and Equilateral Triangles

4-2 Triangle Congruence by SSS and SAS

Proving Triangles are Congruent

Bell Ringer 10/21/

Assignment #45 – Review for Week 10 Quiz

Sections 6.3 & 6.4 Proving triangles are similar using AA, SSS, SAS

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?

Warm Up Yes, ASA. Yes, AAS. Not enough info. Yes, SAS.

Other Methods of Proving Triangles Congruent

Isosceles & Equilateral Triangles

Proving Triangles Congruent

Warm Up Which can you use to prove congruence: SSS, SAS, ASA, or AAS?

Three ways to prove triangles congruent.

ZONK!!!!!!!!!!!!! Chapter

Some Ways to Prove Triangles Congruent

The Isosceles Triangle Theorems

4.4 Proving Triangles are Congruent by ASA and AAS

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

Objective: To use and apply properties of isosceles triangles.

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

Congruent Triangles.

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.

Proving Triangles Similar.

8.3 Methods of Proving Triangles Similar

4.7 Use Isosceles and Equilateral Triangles

Isosceles/ Equilateral

Proving Triangles Similar.

Warmup Write a congruence statement for the triangles.

GEOMETRY 4.5 Recall: To Prove Triangles are CONGRUENT:

Similar Similar means that the corresponding sides are in proportion and the corresponding angles are congruent. (same shape, different size)

Postulates Review.

(The Isosceles Triangle Theorems)

Proving Triangles Congruent

Presentation transcript:

Chapter 4

If DOG CAT then: DG _______ G _______ OGD __________ = ~ ~ ~ ~ = = =

DG CT G T OGD ATC ~ ~ ~ = = =

If BAD FLY then BD FY because _________________ = = ~ ~

Def of s = ~ (CPCTC)

Name the 4 ways to prove triangles congruent.

SSS SAS ASA AAS

If 2 sides of a triangle are then the opposite angles are ______ = ~

If 2 sides of a triangle are then the opposite angles are = = ~ ~ ) ) ( ( ( (

Find x: 40 0 xoxo

x0x0 ) )

If 2 angles of a triangle are then the opposite sides are ___ = ~

If 2 angles of a triangle are then the opposite sides are = ~ ~ =

An equiangular triangle is also _____________

An equiangular triangle is also equilateral.

SOLVE: x – 2y = -7 3x + 4y = 9

2(x – 2y = -7) 2x – 4y = -14 3x + 4y = 9 3x + 4y = 9 5x = -5 x = -1 y = 3 Solution (-1, 3)