'Sas congruence postulate' presentation slideshows

5.1 Perpendiculars and Bisectors

5.1 Perpendiculars and Bisectors. Geometry Mrs. Spitz Fall 2004. Objectives:. Use properties of perpendicular bisectors Use properties of angle bisectors to identify equal distances such as the lengths of beams in a room truss.

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5.1 Perpendiculars and Bisectors

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4.3 to 4.5 Proving ? s are ? : SSS, SAS, HL, ASA, & AAS

4.3 to 4.5 Proving ? s are ? : SSS, SAS, HL, ASA, & AAS. Objectives. Use the SSS Postulate Use the SAS Postulate Use the HL Theorem Use ASA Postulate Use AAS Theorem. Postulate 19 ( SSS ) Side-Side-Side ? Postulate.

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4.3 to 4.5 Proving ? s are ? : SSS, SAS, HL, ASA, & AAS

4.3 to 4.5 Proving ? s are ? : SSS, SAS, HL, ASA, & AAS. Objectives. Use the SSS Postulate Use the SAS Postulate Use the HL Theorem Use ASA Postulate Use AAS Theorem. Postulate 19 ( SSS ) Side-Side-Side ? Postulate.

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4.3 to 4.5 Proving ? s are ? : SSS, SAS, HL, ASA, & AAS

4.3 to 4.5 Proving ? s are ? : SSS, SAS, HL, ASA, & AAS. Objectives. Use the SSS Postulate Use the SAS Postulate Use the HL Theorem Use ASA Postulate Use AAS Theorem. Postulate 19 ( SSS ) Side-Side-Side ? Postulate.

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Proving ? s are ? : SSS, SAS, HL, ASA, & AAS

Proving ? s are ? : SSS, SAS, HL, ASA, & AAS. GEOMETRY Ms. olifer. Objectives. Use the SSS Postulate Use the SAS Postulate Use the HL Theorem Use ASA Postulate Use AAS Theorem Prove problems using triangle congruence theorems/postulates. SSS Side-Side-Side ? Postulate.

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4.3 to 4.5 Proving ? s are ? : SSS, SAS, HL, ASA, & AAS

4.3 to 4.5 Proving ? s are ? : SSS, SAS, HL, ASA, & AAS. OBJECTIVES. Use the SSS Postulate Use the SAS Postulate Use the HL Theorem Use ASA Postulate Use AAS Theorem. Postulate 19 (SSS) Side-Side-Side ? Postulate.

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4.7 Triangles and Coordinate Proof

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4.7 Triangles and Coordinate Proof

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4.7 Triangles and Coordinate Proof

4.7 Triangles and Coordinate Proof. Objectives:. Place geometric figures in a coordinate plane. Write a coordinate proof. Assignment: 2-26 even. Placing Figures in a Coordinate Plane.

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5.6 Indirect Proof & Inequalities in Two Triangles

5.6 Indirect Proof & Inequalities in Two Triangles. Geometry Mrs. Spitz Fall 2004. Objectives:. Read and write an indirect proof Use the Hinge Theorem and its Converse to compare side lengths and angle measures. Assignment. pp. 305-306 #1-24 all. Using Indirect Proof.

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Lesson 4.3 and 4.4 Proving Triangles are Congruent

Lesson 4.3 and 4.4 Proving Triangles are Congruent. p. 212. Learning Target. I can list the conditions (SAS, SSS) to prove triangles are congruent. I can identify and use reflexive, symmetric and transitive property in my proof. How To Find if Triangles are Congruent .

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EXAMPLE 1

BC DA , BC AD. ABC CDA. STATEMENTS. REASONS. S. BC DA. Given. Given. BC AD. BCA DAC. A. Alternate Interior Angles Theorem. S. AC CA. Reflexive Property of Congruence. EXAMPLE 1. Use the SAS Congruence Postulate. Write a proof. GIVEN. PROVE. EXAMPLE 1.

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Warm-Up

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Use the SSS Congruence Postulate

Does the diagram give enough information to show that the triangles are congruent? Explain. Example 1. Use the SSS Congruence Postulate. SOLUTION. From the diagram you know that HJ ? LJ and HK ? LK. By the Reflexive Property, you know that JK ? JK.

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4.9 (M1) Prove Triangles Congruent by SAS & HL

4.9 (M1) Prove Triangles Congruent by SAS & HL. Vocabulary. In a right triangle, the sides adjacent to the right angle are the legs. The side opposite the right angle is the hypotenuse .

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EXAMPLE 1

BC DA , BC AD. ABC CDA. STATEMENTS. REASONS. S. BC DA. Given. Given. BC AD. BCA DAC. A. Alternate Interior Angles Theorem. S. AC CA. Reflexive Property of Congruence. EXAMPLE 1. Use the SAS Congruence Postulate. Write a proof. GIVEN. PROVE. EXAMPLE 1.

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EXAMPLE 1

BC DA , BC AD. ABC CDA. STATEMENTS. REASONS. S. BC DA. Given. Given. BC AD. BCA DAC. A. Alternate Interior Angles Theorem. S. AC CA. Reflexive Property of Congruence. EXAMPLE 1. Use the SAS Congruence Postulate. Write a proof. GIVEN. PROVE. EXAMPLE 1.

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EXAMPLE 4

AB DE. BC EF. m B > m E. Proof : Assume temporarily that m B > m E . Then, it follows that either m B = m E or m B < m E . EXAMPLE 4. Prove the Converse of the Hinge Theorem. Write an indirect proof of Theorem 5.14 . GIVEN :. AC > DF. PROVE:.

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EXAMPLE 2

EXAMPLE 2. Write a translation rule and verify congruence. Write a rule for the translation of ABC to A ? B ? C ?. Then verify that the transformation is an isometry. SOLUTION.

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