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Bellringer If P is the centroid, solve for x, y and z if CD =24. A x D10 2x-4 P B C F
Proving Congruence – ASA, AASChapter 5.3
Use ASA in proofs Statements Reasons
AAS Postulate Angle-Angle-Side Congruence If two angles and a non included side of one triangle are congruent to the corresponding two angles and side of a second triangle then the triangles are congruent
Use AAS in proofs Given: Prove: Statements Reasons
HL Example Statements Reasons Angle RVS is right
Example Statements Reasons
Example Given: Prove: Statements Reasons Given: QP is parallel to SRProve: QR is congruent to PS
Classwork/Homework Pg 253 #1-26
4-4 & 4-5: Tests for Congruent Triangles Objective: Use SSS, SAS, ASA & AAS to prove triangle congruence.
5.6 Proving Triangle Congruence by ASA and AAS. OBJ: Students will be able to use ASA and AAS Congruence Theorems.
Chapter 4: Triangle Congruence Missy McCarthy Okemos High School Math Instructor.
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.
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.
Triangle Congruence by ASA and AAS Chapter 4 Section 3.
Chapter 4.5 Notes: Prove Triangles Congruent by ASA and AAS Goal: You will use two more methods to prove congruences.
Hypotenuse – Leg Congruence Theorem: HL. Hypotenuse-Leg Theorem (HL) If the hypotenuse and leg of a right triangle are congruent to the hypotenuse and.
Lesson 4-3: SSS, SAS, ASA 1 Lesson 4-3 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.
4.3 TRIANGLE CONGRUENCE BY ASA AND AAS TO PROVE TRIANGLE CONGRUENCE BY ASA POSTULATE AND AAS THEOREM.
Lesson 4-4: AAS & HL Postulate 1 Lesson 4-4 Proving Triangles Congruent (AAS, HL)
4.4 Proving Triangles are Congruent: ASA and AAS Geometry.
(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.
Section 4-3 Proving Triangles Congruent by ASA and AAS.
GEOMETRY Proving Triangles are Congruent: ASA and AAS.
5.4 Hypotenuse – Leg Congruence Theorem: HL Textbook pg 257.
4.6: Congruence in Right Triangles. Right Triangles Learning Target: To prove right triangles congruent by the HL Theorem.
Chapter 4 Congruent Triangles. 4.3 Proving Triangles Congruent: SSS and SAS.
Congruent Triangles Jeopardy Theorems and Postulates Corresponding Parts RU Congruent Proofs Potpourri Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200.
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.
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.
4-4 Using Congruent Triangles: CPCTC Objective: use triangle congruence and CPCTC to prove that parts of two triangles are congruent.
Unit 1 1 CCGPS Analytic Geometry Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
Unit 4 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
Triangle Congruence by SSS & SAS Objective: To Determine whether triangles are congruent using SSS and SAS postulate.
DO NOW!!! Solve for “x”.. Triangle Congruence SSS: Side Side Side If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles.
WARM-UP. SECTION 4.3 TRIANGLE CONGRUENCE BY ASA AND AAS.
Review: Solving Systems x 2y+3 x+y 12 Find the values of x and y that make the following triangles congruent.
Monday, October 22, 2012 Homework: p. 211 #28-34 even.
Mrs. Rivas Lesson 4-1. Mrs. Rivas Lesson 4-1 State whether the figures are congruent. Justify your answers. Yes; corresponding sides and corresponding.
Angle Relationship Proofs. Linear Pair Postulate Angles which form linear pairs are supplementary.
Section 4-3 Triangle Congruence (ASA, AAS) SPI 32C: determine congruence or similarity between triangles SPI 32M: justify triangle congruence given a diagram.
Warm Up Check homework answers with each other!. Ch : Congruence and Triangles Students will prove triangles congruent using SSS, SAS, ASA, AAS,
ASA AND AAS CONGRUENCE Section 4.5. Angle-Side-Angle (ASA) Congruence Postulate If two angles and the included side of one triangle are congruent to.
Bell-Ringer Given:, m
Chapter 4: Congruent Triangles Objective: To recognize congruent triangles and their corresponding parts. Key Vocabulary: Congruent Triangles.
Unit 7 Congruency and Similarity Proving Triangles Congruent (SSS, SAS, ASA, AAS, and HL)
GE = 2x – 7 GF = x + 4. What is GD? Solve for the variable Bellringer P 23 top 10 lines.
Triangle Congruence: SSS, SAS, ASA, AAS, and HL. Learning Targets Students should be able to… Apply SSS, SAS, ASA, AAS, and HL to construct triangles.
Congruent Triangles. Standard 25: Identify interior and exterior angles of a triangle and identify the relationships between them. Standard 26: Utilize.
Notes Over Congruence When two polygons are ___________their corresponding parts have the _____ _______. T V U 300 m 1. Name the corresponding congruent.
Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles congruent.
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.
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.
Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.
7.4 A Postulate for Similar Triangles. We can prove that 2 triangles are similar by showing that all 3 corresponding angles are congruent, and all 3 sides.
4.9Prove Triangles Congruent by SAS Side-Angle-Side (SAS) Congruence Postulate If two sides and the included angle of one triangle are congruent to two.
Proving Triangles are Congruent: SSS and SAS Sec 4.3 GOAL: To prove triangles are congruent by using the SSS and SAS Congruence Postulates.
TODAY IN GEOMETRY… REVIEW: SSS, SAS, HL, ASA, AAS WARM UP: PROOF-A-RAMA 1 Learning Goal: 4.6 Use CPCTC to prove congruent parts of a triangle Independent.
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