Warmup Find the measure of angle 2. How do we analyze congruence in triangles? AGENDA: WARMUP – GUIDED NOTES – CPCTC PRACTICE.

Slides:



Advertisements
Similar presentations
Bellringer Find the area and perimeter of the figure. 10m 6m.
Advertisements

4-4 Using Congruent Triangles: CPCTC
Proving RightTriangles Congruent Free powerpoints at
Similarity & Congruency Dr. Marinas Similarity Has same shape All corresponding pairs of angles are congruent Corresponding pairs of sides are in proportion.
4-1 Congruent Figures. Congruent Figures Whenever two figures have the same size and shape, they are called Congruent. We already know about congruent.
Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.
Congruent and Similar. Similar and Congruent Figures Congruent polygons have all sides congruent and all angles congruent. Similar polygons have the same.
Chapter 4: Congruent Triangles Lesson 4-4: Using Congruent Triangles: CPCTC Goal: Use triangle congruence and CPCTC to prove that parts of two congruent.
I can identify corresponding angles and corresponding sides in triangles and prove that triangles are congruent based on CPCTC.
Notes Over Congruence When two polygons are ___________their corresponding parts have the _____ _______. congruent same measure 1. Name the corresponding.
Section 4.2 Congruence and Triangles. Two figures are congruent if they have exactly the same size and shape.
Lesson 4-2: Congruent Triangles 1 Lesson 4-2 Congruent Triangles.
Similar Figures Notes. Solving Proportions Review  Before we can discuss Similar Figures we need to review how to solve proportions…. Any ideas?
Objectives:  To identify congruent polygons and their corresponding parts  To use congruent polygons to determine missing measures.
Chapter 4.2 Notes: Apply Congruence and Triangles
Warm-Up If ∆QRS  ∆ZYX, identify all 3 pairs of congruent angles and all 3 pairs of congruent sides.
 If three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.  If AB = DE, BC = EF, AC.
ACC Math 1 EQ: What does it mean for two triangles to be congruent?
Congruent Figures. Congruent figures have the same size and shape. Congruent polygons have congruent corresponding parts - their matching sides and angles.
Lesson 2.1 Lesson 2.1 Congruent polygons. Lesson 6.5 Congruent Polygons 2 March 21, 2016 Lesson 2.1 Objectives Identify Congruent Figures. Name Corresponding.
Do-Now 2) Find the value of x & the measure of each angle. 5x – 4 4x ° 1) Find the value of x. 4x x – 10 3x + 1 5x – 4 + 4x + 14 = 100 9x.
Bell Ringer What does the word congruent mean? Name two things that are congruent. What is the symbol we use to denote congruence?
Congruent Triangles You identified and used congruent angles. Name and use corresponding parts of congruent polygons. Prove triangles congruent using the.
Warm-up Individual work. Will be collected at 1:22 and graded.
Chapter 4, Section 3 Congruent Triangles. Corresponding Parts of Congruent Triangles Congruent triangles have the same _____________ and ______________.
Warm Up m<L = m<L = 180 m<L =
Proving Triangles Congruent
Proving Triangles Congruent
Proving Triangles Congruent
Similar Figures.
Proving Triangles Congruent
TRIANGLE CONGRUENCE p q r a b c LESSON 16.
Proving Triangles Congruent
Section 4-3 Congruent Triangles
Do Now: ≅
Proving Triangles Congruent
Proving Triangles Congruent
Proving Triangles Congruent
Proving Triangles Congruent
Similarity, Congruence, & Proofs
Similar Figures Corresponding angles are the same. Corresponding sides are proportional.
4-3 Congruent Triangles Congruent triangles
Lesson 4-2: Congruent Triangles
Chapter 4.2 Notes: Apply Congruence and Triangles
Proving Triangles Congruent
Geometry Unit 5 Congruent Figures.
Lesson 4-2: Congruent Triangles
Chapter 4: Corresponding Parts in Congruence
Proving Triangles Congruent
FG, GH, FH, F, G, H Warm Up 1. Name all sides and angles of ∆FGH.
Lesson 4-2: Congruent Triangles
Proving Triangles Congruent
Proving Triangles Congruent
Lesson 4-2 Congruent Triangles.
Lesson: Congruent Triangles
Apply Congruence and Triangles:
Lesson 4-1: Congruent Triangles
Lesson 4-2: Congruent Triangles
Congruence Congruent () figures have the same size and shape.
Module 1 Topic D – Lesson 24 Warm Up
Proving Triangles Congruent
Congruence Postulates
Congruent Triangles and Figures
Intro to G.6 Congruent Triangles.
Lesson 8.04 Triangle Congruence
Objective We will analyze congruent triangles
Proving Triangles Congruent
Congruent Triangles.
Proving Triangles Congruent
Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.
Presentation transcript:

Warmup Find the measure of angle 2

How do we analyze congruence in triangles? AGENDA: WARMUP – GUIDED NOTES – CPCTC PRACTICE

The symbol for is Whenever two figures have the same shape and size the figures are called congruent to .. Two triangles are congruent if and only if their vertices can be matched up so that the corresponding parts (angles and sides) of the triangles are congruent (CPCTC). congruent. Corresponding Parts of Congruent Triangles are Congruent.

A B C L M N Corresponding SidesCorresponding Angles  A   B   C  LL MM NN AB  LM MNBC  AC  LN  ABC   LMN

If  ABC   LMN… 1. If AB = 5, then LM = ____ 2. If m  B = 80, then m  M = _____. 3. If m  B = 80,  m  A = 60, then m  N = _____ m  M = 80 m  L = 60 40

If  CAT   DOG, then…. 1. Name the 3 pairs of corresponding sides. 2. Name the 3 pairs of corresponding angles. 3. Is it correct to say  ACT   ODG? 4. Is it correct to say  TAC   GDO?  C  A  T DD OO GG CA  AT  CT  DOOGDG Yes No

B A O D C 1.  ABO  _______ 2.  A  ______ 3. AO  ______ 4. BO  ______ 5.  BOA  _______  CDO CC  DOC DO CO Example 1

L B K H A C O R S E 1. Pentagon BLACK  ______________ 2.  A  ______3. LB  ______ 4. RS  ______ 5. Pentagon CKBLA  _______________ Example 2 Pentagon HORSE RR Pentagon SEHOR OH AC

R P T S R T S T S P 1.  RTS  _______2.  PST  ______ 3. RT  ______4. RS  ______ Example 3  PST  RTS PS PT

E D B A C F 2x - 8 x + 2 6w 3y + 3 5y - 7 9w - 12  ABC   DEF

 CAT   DOG D G O T C A x + 8 3w + 1 3y + 9 5x 4w 10y - 5

Exit ticket Text p. 237 #21-26