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4-2 Triangle congruence by sss & sas

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Presentation on theme: "4-2 Triangle congruence by sss & sas"β€” Presentation transcript:

1 4-2 Triangle congruence by sss & sas
GEOMETRY

2 Side-Side-Side (SSS) Postulate
If 3 sides of one triangle are congruent to the 3 sides of another triangle, then the 2 triangles are congruent βˆ†πΊπ»πΉβ‰…βˆ†π‘ƒπ‘„π‘…

3 Ex. 1) Is there enough information to prove the 2 triangles are congruent?
Given: 𝑨𝑩 β‰… 𝑩π‘ͺ , 𝑨𝑫 β‰… π‘ͺ𝑫 Plan: 3 sides need to be congruent

4

5 Side-Angle-Side (SAS) Postulate
If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent βˆ†π΄π΅πΆβ‰…βˆ†πΈπΉπ·

6 Ex. 2) What other information do you need to prove βˆ†π‘Ήπ‘Ίπ‘²β‰…βˆ†π‘»π‘²π‘Ί?

7 Ex. 3) What other information do you need to prove βˆ†π‘¨π‘©π‘ͺβ‰…βˆ†π‘ͺ𝑫𝑨 by SAS?

8 Ex. 4) From the information given, can you prove the triangle congruent?

9 Ex. 5) From the information given, can you prove the triangle congruent?


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