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StatementsReasons 1.1.Given 2. BDA & CDA are rt s2. Def. of 3. BDA CDA3. All right s are 4.4. Reflexive Property 5. BDA CDA 5.SAS CPCTC (Def. of s)
StatementsReasons 1.1.Given 2.2. Reflexive Property 3. CLA APC 3.SAS 4.4. CPCTC
StatementsReasons 1. bisects bisects 1. Given 2. LPA NPA; LAP NAP 2. Def. of bisects 3.3. Reflexive Property 4. LAP NAP 4.ASA 5. N L 5. CPCTC
StatementsReasons 1.I is mdpt of I is mdpt of 1.Given 2.2. Definition of Midpoint 3. 1 2 3. Vertical Angles Theorem 4. CIL MIB 4.SAS 5.5. CPCTC
StatementsReasons 1.1.Given 2. P N; T A2. Alt. Int. s Th Def. of bisect 4. PIA NIT 4.AAS 5.5. CPCTC
Chapters 2 – 4 Proofs practice. Chapter 2 Proofs Practice Commonly used properties, definitions, and postulates Transitive property Substitution property.
Chapter 4 Review Cut-n-Paste Proofs. StatementsReasons SAS Postulate X is midpoint of AC Definition of Midpoint Given Vertical Angles Theorem X is midpoint.
Geometry Worksheets Congruent Triangles #3. Given Definition of Midpoint SSS.
EXAMPLE 1 Identify congruent triangles Can the triangles be proven congruent with the information given in the diagram? If so, state the postulate or.
GOAL 1 PLANNING A PROOF EXAMPLE Using Congruent Triangles By definition, we know that corresponding parts of congruent triangles are congruent. So.
Using Congruent Triangles Class Worksheet Part 2.
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.
PROOFS Using Special Quadrilaterals. #1 If a quadrilateral is a parallelogram, then its opposite sides are congruent. Given: PQRS is a parallelogram StatementsReasons.
Advanced Geometry 3.3. Objective To write proofs involving congruent triangles and CPCTC.
(4.4) CPCTC Corresponding Parts of Congruent Triangles Congruent.
1Geometry Lesson: Isosceles and Equilateral Triangle Theorems Aim: What theorems apply to isosceles and equilateral triangles? Do Now: C A K B Given: Prove:
Proving Triangles Congruent Geometry D – Chapter 4.4.
Unit 4 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
11. No, need MKJ MKL 12. Yes, by Alt Int Angles SRT UTR and STR URT; RT RT (reflex) so ΔRST ΔTUR by ASA 13. A D Given C
Proving Triangles Congruent. Steps for Proving Triangles Congruent 1.Mark the Given. 2.Mark … reflexive sides, vertical angles, alternate interior angles,
4.4 Proving Congruence – SSS and SAS What you’ll learn: 1.To use SSS Postulate to test for triangle congruence. 2.To use the SAS Postulate to test for.
4.6 Using Congruent Triangles. Given: Prove: 1. given 2. Def. of angle bisector BCA DCA 3. given 4. Def. of angle bisector BAC DAC 5. Reflexive.
Δ CAT is congruent to Δ DOG. Write the three congruence statements for their SIDES
Warm Up Check homework answers with each other!. Ch : Congruence and Triangles Students will prove triangles congruent using SSS, SAS, ASA, AAS,
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.
Lesson 4-3: SSS, SAS, ASA 1 Lesson 4-3 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
Triangle Congruences SSS SAS AAS ASA HL. Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence.
StatementsReasons Given: ZY || WX; WX ZY Prove: W Y WX YZWARM UP- Complete the Proof. 1. WX ZY, ZY || WX 2. YZX WXZ 3. ZX ZX 4. ΔYZX.
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.
3.8 HL Objectives: Use HL in proofs to prove triangles congruent.
Before Section 3.3 One more way to prove triangles congruent: Angle-Angle-Side (AAS) Postulate If two angles and the nonincluded side of one triangle are.
Proof of Theorem 4.8 – The Base Angles Theorem Given: WX WY ZW bisects XY Prove: X Y StatementsReasons S WX WY Given.
6.3 Proving Quadrilaterals are Parallelograms Standard: 7.0 & 17.0.
Lesson 4-4: AAS & HL Postulate 1 Lesson 4-4 Proving Triangles Congruent (AAS, HL)
4-4 Proving Congruence- SSS, SAS. Congruent Means that corresponding parts are congruent, Matching sides and angles will be congruent.
& 5.2: Proving Triangles Congruent p , Adapted from:
Benchmark 24 I can use properties of perpendicular bisectors and angle bisectors to identify equal distances.
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.
CPCTC Be able to use CPCTC to find unknowns in congruent triangles! Are these triangles congruent? By which postulate/theorem? _____ _____ J L K N M.
CONGRUENT TRIANGLES. HOW TO FIND CONGRUENT SIDES ? ? Remember to look for the following: Adjacent triangles share a COMMON SIDE, so you can apply the.
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.
Warm-Up—Find the Key Steps Prove AB = CD A) B) C) D) A B O CD X Y.
Corresponding Parts 4-2D Why are corresponding parts of congruent triangles important? What properties of congruence are used in Geometry?
Theorems Theorem 6.6: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. ABCD is a parallelogram.
3.7 Angle-Side Theorems Objectives: Apply theorems relating the angle measures and the side lengths of triangles.
Proving Triangles Congruent STUDENTS WILL BE ABLE TO… PROVE TRIANGLES CONGRUENT WITH A TWO COLUMN PROOF USE CPCTC TO DRAW CONCLUSIONS ABOUT CONGRUENT TRIANGLES.
10/20/2011Keystone Geometry Proving Parts of Triangles using CPCTC.
10/8/12 Triangles Unit Congruent Triangle Proofs.
Geometry - Unit 4 $100 Congruent Polygons Congruent Triangles Angle Measures Proofs $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400.
Blue – 3/9/2015 Gold – 3/10/2015. Last 2 classes, we talked about 3 ways we can determine triangle congruence. CPCTC – All 3 sides and 3 angles of.
Holt Geometry 7-3 Triangle Similarity: AA, SSS, and SAS Prove certain triangles are similar by using AA, SSS, and SAS. Use triangle similarity to solve.
1 Aim: How do we prove lines are perpendicular? Do Now: A C D B StatementsReasons 1) 2) 3) 4) 5) 6) 7) 8) Given Def. Linear pair Linear pair is suppl.
Holt Geometry 4-6 Triangle Congruence: CPCTC 4-6 Triangle Congruence: CPCTC Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson.
4.7 ASA and AAS Objectives: Apply ASA and AAS to construct triangles and to solve problems. Prove triangles congruent by using ASA and AAS.
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