4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Slides:



Advertisements
Similar presentations
4-4 Using Congruent Triangles: CPCTC
Advertisements

4-2 Triangle Congruence by SSS and SAS
3-1: Congruent Figures Honors Geometry.
Chapter 4.5 Notes: Prove Triangles Congruent by ASA and AAS Goal: You will use two more methods to prove congruences.
I can identify corresponding angles and corresponding sides in triangles and prove that triangles are congruent based on CPCTC.
4.1: CONGRUENT FIGURES Objectives: To recognize congruent figures and their corresponding parts.
SWBAT: Recognize Congruent Figures and Their Corresponding Parts
4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.
4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles.
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.
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.
4.5 – Prove Triangles Congruent by ASA and AAS In a polygon, the side connecting the vertices of two angles is the included side. Given two angle measures.
Proving Triangles are Congruent: SSS and SAS Sec 4.3
4. 1 Apply Congruence and Triangles 4
Geometry Sections 4.3 & 4.4 SSS / SAS / ASA
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.
4-1: Congruent Figures.  Congruent Polygons  Have congruent corresponding parts  Must list corresponding vertices in the same order when naming. Congruent.
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.
CONGRUENT TRIANGLES. Congruence We know… Two SEGMENTS are congruent if they’re the same length. Two ANGLES are congruent if they have the same measure.
Warm Up 1.) Find the measure of the exterior angle.
Triangle Congruence Theorems
4-2 Triangle Congruence by SSS and SAS
5.2 Proving Triangles are Congruent by SSS and SAS
Proving Triangles are Congruent
8.3 Methods of Proving Triangles Similar
4.6: Triangle congruence ASA, AAS, & HL.
Proving Triangles are Similar
Featuring ASA and AAS (angle-side-angle and angle-angle-side)
5.3 Proving Triangles are congruent:
Proving Triangles Congruent: SSS and SAS
4-2 Triangle Congruence by SSS and SAS
Other Methods of Proving Triangles Congruent
Three ways to prove triangles congruent.
CHAPTER 4: CONGRUENT TRIANGLES
4-2 Triangle Congruence by SSS and SAS
4-4 and 4-5: Congruent Triangle Theorems
5.7 Using Congruent Triangles
Proving Triangles Similar
Proving Triangles Similar Same idea as polygons
4-2 Some Ways to Prove Triangles Congruent (p. 122)
Proving Triangles Similar Related Topic
4.2 Triangle Congruence by SSS and SAS
Triangle Congruence.
Chapter 4.2 Notes: Apply Congruence and Triangles
End Warm Up Find the missing angles below
Identifying types and proofs using theorems
4-2 Triangle Congruence by SSS & SAS
Warm Up Draw a triangle with the following specifications
5.3 Proving Triangle Similar
Chapter 4: Corresponding Parts in Congruence
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
Get out your Module 4 quiz and
Triangle Congruences Day 2.
7.2 Two Proof-Oriented Triangle theorems
Lesson Similarity of Triangles
4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS
Proving Triangles Similar.
Similar Similar means that the corresponding sides are in proportion and the corresponding angles are congruent. (same shape, different size)
Chapter 4 Congruent Triangles.
Warm Up 1 ( Write a congruence statement
Congruent Triangles.
4-4/4-5 Proving Triangles Congruent
8.3 Methods of Proving Triangles are Similar Advanced Geometry 8.3 Methods of Proving 
  Triangles are Similar Learner Objective: I will use several.
Integrated Math One Task 6.9
4-2 Triangle congruence by sss & sas
Proving triangles are congruent: sss and sas
Presentation transcript:

4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Congruent Polygons Polygons that have congruent corresponding parts – they have matching sides and angles. When you name congruent polygons, you must list corresponding vertices in the same order.

Congruent Triangles ORDER MATTERS!!! A D B E C F   Corresponding Parts

Example Write six things that are congruent if: Answers:  

Theorem 4-1: Third Angles Theorem  

All we need is to show 3 pairs of Corresponding Sides are congruent in order to prove Triangle Congruence. Let’s look at a couple of two-column proofs that utilize the SSS Postulate.

Example 1:Using SSS

Try Another Proof!

SAS Postulate

Example 2: Using SAS

Ex 2B: Using SAS

Example 3: Are the Triangles Congruent?

Ex 3B: Are the Triangles Congruent?

Apply: Are these Triangles Congruent? If congruent say why, if not explain what else you would need to know to prove them congruent by SSS or SAS.

Apply: Are these Triangles Congruent? If congruent say why, if not explain what else you would need to know to prove them congruent by SSS or SAS.

Practice Proofs!

More Proofs!