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Apply SSS and SAS to construct triangles and solve problems.

Learn how to apply SAS and SSS to construct and solve problems with triangles. Prove congruence using SAS and SSS, with examples showing step-by-step solutions.

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Apply SSS and SAS to construct triangles and solve problems.

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  1. Objectives Apply SSS and SAS to construct triangles and solve problems. Prove triangles congruent by using SSS and SAS.

  2. Mark each figure with any additional information, then determine whether the triangles are congruent by SSS or SAS. 1. 2. SAS SSS 4. 3. SSS SAS

  3. PQ  MN, QR  NO, PR  MO Show that the triangles are congruent for the given value of the variable. ∆MNO  ∆PQR, when x = 5. , so ∆MNO  ∆PQR by SSS.

  4. DB  DBReflexive Prop. of . Show that ∆ADB  ∆CDB, when t = 4. ADB  CDBDef. of . ∆ADB  ∆CDB by SAS.

  5. 1.BC || AD 3. BC  AD 4. BD BD Example 4: Proving Triangles Congruent Given: BC║ AD, BC AD Prove: ∆ABD  ∆CDB Statements Reasons 1. Given 2. CBD  ABD 2. Alt. Int. s Thm. 3. Given 4. Reflex. Prop. of  5.∆ABD  ∆CDB 5. SAS Steps 3, 2, 4

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