Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to...

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You proved triangles congruent using the definition of congruence. • Use the SSS Postulate to test for triangle congruence. • Use the SAS Postulate to test for triangle congruence.

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Transcript of Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to...

Page 1: Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

You proved triangles congruent using the definition of congruence.

• Use the SSS Postulate to test for triangle congruence.

• Use the SAS Postulate to test for triangle congruence.

Page 2: Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

You proved triangles congruent using SSS and SAS.

• Use the ASA Postulate to test for congruence.

• Use the AAS Theorem to test for congruence.

Page 3: Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

• included angle

Page 4: Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

SSS (Side-Side-Side)

Page 5: Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

SAS (Side-Angle-Side)

Page 6: Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

ASA (Angle-Side-Angle)

Page 7: Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

AAS (Side-Side-Side)

Page 8: Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

HL (Hypotenuse-Leg)

(Use with right triangles only)

Page 9: Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.
Page 10: Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

Use ASA to Prove Triangles Congruent

Write a two-column proof.

Page 11: Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

Use ASA to Prove Triangles Congruent

4. Alternate Interior Angles4. W E

Proof:Statements Reasons

1. Given1. L is the midpoint of WE.___

3. Given3.

2. Midpoint Theorem2.

5. Vertical Angles Theorem5. WLR ELD

6. ASA6. ΔWRL ΔEDL


Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent. Now: 1. Identify similar triangles using the AA Similarity Postulate.

Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent. Now: 1. Identify similar triangles using the AA Similarity Postulate.

1B_Ch11(1). 11.1The Meaning of Congruence A Congruent Figures B Transformation and Congruence C Congruent Triangles Index 1B_Ch11(2)

1B_Ch11(1). 11.1The Meaning of Congruence A Congruent Figures B Transformation and Congruence C Congruent Triangles Index 1B_Ch11(2)

 · SAS Postulate: If two sides and the included angle of one triangle are congruent to two sides and the included ... The congruence (b) The postulate u If not, write NOT CONGRUENT.

 · SAS Postulate: If two sides and the included angle of one triangle are congruent to two sides and the included ... The congruence (b) The postulate u If not, write NOT CONGRUENT.

Geometry: Proofs and Postulates - Math Plane...SSS congruence postulate (If 3 sides of one triangle are congruent to coresponding sides of another triangle, then the triangles are

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Geometry Chapter 4 … · Postulates for Congruent Triangles Postulate 20 –Side-Angle-Side Congruence (SAS): If two sides and the included angle of one triangle are congruent to

Geometry Chapter 4 … · Postulates for Congruent Triangles Postulate 20 –Side-Angle-Side Congruence (SAS): If two sides and the included angle of one triangle are congruent to

NJCTLcontent.njctl.org/courses/math/geometry/congruent... · Web view2013/12/29  · Congruence – Congruent parts: SSS & SAS Triangle Congruence Home Work Identify the corresponding

NJCTLcontent.njctl.org/courses/math/geometry/congruent... · Web view2013/12/29  · Congruence – Congruent parts: SSS & SAS Triangle Congruence Home Work Identify the corresponding

4.2 CONGRUENT FIGURES - Mathematics with Mr. Thoreson€¦ · CHAPTER 4 Triangles and Congruence Chapter Outline 4.1 TRIANGLE SUMS 4.2 CONGRUENT FIGURES 4.3 TRIANGLE CONGRUENCE USING

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Congruence and Transformations...Side-Angle-Side (SAS) Congruence Postulate If two sides and the included angle of one triangle are congruent to two sides and the included angle of

Congruence and Transformations...Side-Angle-Side (SAS) Congruence Postulate If two sides and the included angle of one triangle are congruent to two sides and the included angle of

4-5 Proving Triangles Congruent – ASA, AAS You proved triangles congruent using SSS and SAS. Use the ASA Postulate to test for congruence.

4-5 Proving Triangles Congruent – ASA, AAS You proved triangles congruent using SSS and SAS. Use the ASA Postulate to test for congruence.

4.3 Proving Triangles are Congruent: SSS and SAS · 2015-10-12 · 4.3 Proving Triangles are Congruent: SSS and SAS 213 The SSS Congruence Postulate is a shortcut for proving two

4.3 Proving Triangles are Congruent: SSS and SAS · 2015-10-12 · 4.3 Proving Triangles are Congruent: SSS and SAS 213 The SSS Congruence Postulate is a shortcut for proving two

4.4 Prove Triangles Congruent by SAS and HL. Side-Angle-Side (SAS) Congruence Postulate If two sides and the included angle are congruent to the corresponding.

4.4 Prove Triangles Congruent by SAS and HL. Side-Angle-Side (SAS) Congruence Postulate If two sides and the included angle are congruent to the corresponding.

 · Section 1.2 Use Segments and Congruence ... Segment Addition Postulate ... Worksheet I .2 odds congruent-segments - Ho

 · Section 1.2 Use Segments and Congruence ... Segment Addition Postulate ... Worksheet I .2 odds congruent-segments - Ho

mrfennmathclass€¦ · Lessons 4.1 Congruent Polygons 4.2 Triangle Congruence 4.3 e Analyzing Triangle Congruence 4.4 e Using Triangle Congruence 0 Proving Quadrilateral

mrfennmathclass€¦ · Lessons 4.1 Congruent Polygons 4.2 Triangle Congruence 4.3 e Analyzing Triangle Congruence 4.4 e Using Triangle Congruence 0 Proving Quadrilateral

8.9 Congruent Polygons 6.4.9- I can identify congruent figures and use congruence to solve problems.

8.9 Congruent Polygons 6.4.9- I can identify congruent figures and use congruence to solve problems.

Are the following triangles congruent? If yes, state the triangle congruence postulate, and identify the congruent triangles. Bell Ringer.

Are the following triangles congruent? If yes, state the triangle congruence postulate, and identify the congruent triangles. Bell Ringer.

Postulates 2.1 2 - cpb-us-east-1-juc1ugur1qwqqqo4 ... · Postulates 2.1 – 2.7 ... Theorem 2.2 Segment Congruence . 2 Postulate 2.10 Protractor Postulate Postulate 2.11 Angle Addition

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Richmond County School System / Welcome · 2016-09-26 · Congruence Postulate and the AAS Congruence Theorem. Use congruence postulates and theorems in real-life problems. POSTULATE

Richmond County School System / Welcome · 2016-09-26 · Congruence Postulate and the AAS Congruence Theorem. Use congruence postulates and theorems in real-life problems. POSTULATE

Geometry Triangle Congruence Theorems Congruent triangles have three congruent sides and and three congruent angles. However, triangles can be proved.

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LESSON 4-2 TRIANGLE CONGRUENCE BY SSS AND SAS · Practice 4-2 Triangle Congruence by SSS & SAS Decide whether you can use the SSS or SAS Postulate to prove the triangles congruent.

LESSON 4-2 TRIANGLE CONGRUENCE BY SSS AND SAS · Practice 4-2 Triangle Congruence by SSS & SAS Decide whether you can use the SSS or SAS Postulate to prove the triangles congruent.

F2.PC - Proving with Triangle Congruence Progress Check (F1-F2) · 2. State the postulate, if any that show the two triangles below are congruent. If we can justify they are congruent

F2.PC - Proving with Triangle Congruence Progress Check (F1-F2) · 2. State the postulate, if any that show the two triangles below are congruent. If we can justify they are congruent