Warm-Up (#33 p.191). 4.3 Triangle Congruence by ASA and AAS.

Slides:



Advertisements
Similar presentations
Proving Triangles Congruent
Advertisements

5.4 Hypotenuse – Leg Congruence Theorem: HL
Proving Triangles Congruent
4-2 Triangle Congruence by SSS and SAS
Hypotenuse – Leg Congruence Theorem: HL
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.
6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.
4-4 & 4-5: Tests for Congruent Triangles
Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.
Corresponding Parts of Congruent Triangles Lesson 4-4.
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.
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.
4.3 & 4.4 Proving Triangles are Congruent
4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles.
TODAY IN GEOMETRY…  Go over proofs from HW #5  4.4 WS Warm Up  Learning Goal: 4.5 You will use postulates Angle-Side-Angle and Angle-Angle-Side to prove.
Triangle Congruence: SSS, SAS, ASA, AAS, and HL
Lesson: 9 – 3 Similar Triangles
Geometry 4-3 Triangle Congruence
(4.2)/(4.3) Triangle Congruence by SSS, SAS, ASA, or AAS Learning Target: To be able to prove triangle congruency by SSS, SAS, ASA, or AAS using proofs.
Monday, October 22, 2012 Homework: p. 211 #28-34 even.
Warm-Up! Find the Distance and Midpoint between the two points (-12, 6) and (-4, -3)
4.3 Triangle Congruence by ASA and AAS You can prove that two triangles are congruent without having to show that all corresponding parts are congruent.
Unit 4 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
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.
Drill Write your homework in your planner Take out your homework Find all angle measures:
CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.
CHAPTER 4 Congruent Triangles. What does CONGRUENCE mean? Congruent angles- have equal measures Congruent segments- have equal lengths.
Proving Triangles are Congruent: SSS and SAS Sec 4.3
For 9 th /10 th grade Geometry students Use clicker to answer questions.
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.
DO NOW Identify the corresponding parts using tick marks. Then state which polygons are congruent. 1.2.
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.
Date: Topic: Proving Triangles Similar (7.6) Warm-up: Find the similarity ratio, x, and y. The triangles are similar. 6 7 The similarity ratio is: Find.
CONGRUENT TRIANGLES Side-Side-Side Postulate (SSS) Side-Side-Side Congruence: If the sides of one triangle are congruent to the sides of a second triangle,
SWBAT prove triangles congruent: SSS, SAS, ASA, AAS & HL (4.2,4.3 and 4.6) Homework (day 27):  worksheet day 27 finish/Quiz on Proofs next block Storybook.
Chapter 9, Section 5 Congruence. To be congruent: –corresponding parts (sides/ angles) have the same measure.
Do Now: Identify two congruent triangles in the figure below. H N A D.
Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.
Prove triangles congruent by ASA and AAS
Geometry-Part 7.
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?
5.3 Proving Triangles are congruent:
Proving Triangles Congruent: SSS and SAS
Other Methods of Proving Triangles Congruent
Proving Triangles Congruent
Three ways to prove triangles congruent.
4-2 Triangle Congruence by SSS and SAS
Lessons 25, 28, 30, & 36: Proving Triangles Congruent
4-4 and 4-5: Congruent Triangle Theorems
5.6 Proving Triangle Congruence by ASA & AAS
4-2 Some Ways to Prove Triangles Congruent (p. 122)
4.2 Triangle Congruence by SSS and SAS
Identifying types and proofs using theorems
Get out your Module 4 quiz and
Bell ringer.
Learn to use the ASA and AAS tests for congruence.
Warmup Write a congruence statement for the triangles.
Triangle Congruence by ASA and AAS
Similar Similar means that the corresponding sides are in proportion and the corresponding angles are congruent. (same shape, different size)
Triangle Congruence Obj: learn all the ways to prove triangles are congruent To Identify- SSS, AAS, SAS, or ASA.
Warm Up 7.4 Is there enough information to prove that the triangles are congruent? If so, state the reason (SSS, SAS, HL, ASA,
Warm Up 1 ( Write a congruence statement
4-4/4-5 Proving Triangles Congruent
Proving Triangles Congruent
Chapter 4: Congruent Triangles 4.2: Proving Triangles Congruent
Presentation transcript:

Warm-Up (#33 p.191)

4.3 Triangle Congruence by ASA and AAS

Learning Target I can show two triangles are congruent using AAS or ASA

Vocabulary Angle Side Angle (ASA) : If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

ASA Example PMO ≅ NMO

Vocabulary Angle Angle Side (AAS): If two angles and a non included side are congruent to two angles and the corresponding non included side, then the triangles are congruent.

AAS Example WVY ≅ ZVY

Practice On your 4-3 worksheet, lets do problems 1-9

Practice On your 4-3 worksheet, lets do problems 12-14

Practice Together Proofs – #10 and #11 on your 4- 3 worksheet together

Recap Questions Do you know what AAS and ASA mean? Do you know how to prove two triangles congruent using AAS or ASA? Do you remember SAS and SSS? Can you provide reasoning in a proof? CHALLENGE: Can you write a proof?

Homework p. 197 – 198 #1-18 all HEADS UP: There will be a quiz this Thursday on 4.1 – 4.3