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Geometry 4-6 CPCTC

Geometry 4-6 CPCTC. C – Corresponding P – Parts of C – Congruent T – Triangles are C – Congruent After you prove two triangles are congruent using SSS, SAS, ASA, AAS, or HL Then you can say that all of their unmarked sides and angles are also congruent by CPCTC. Example.

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Geometry 4-6 CPCTC

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  1. Geometry 4-6 CPCTC C – Corresponding P – Parts of C – Congruent T – Triangles are C – Congruent After you prove two triangles are congruent using SSS, SAS, ASA, AAS, or HL Then you can say that all of their unmarked sides and angles are also congruent by CPCTC.

  2. Example Determine if the two Δ’s are congruent. If they are, find the value of x. A U 3x-3 V C 24 T B ΔABC ≅ΔTVUby HL. So, AB ≅ TV by CPCTC. 3x – 3 = 24 and x = 9.

  3. Example Determine if the two Δ’s are congruent. If they are, find the value of x. 2x 3x - 4 You cannot use unmarked sides. So, there is not enough information to prove the two triangles are congruent.

  4. Given: PR bisects QPS and QRS. Find the values of x and y. Example 125° 12 2y - 4 x - 5° ΔPRS ≅ ΔPRQ by ASA. PQ ≅ PS by CPCTC. 2y – 4 = 12 so y = 8. ∠Q ≅ ∠S by CPCTC. x – 5 = 125 so x = 130.

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