Congruent Triangle Proofs Cpctc Worksheet

Congruent Triangle Proofs Cpctc Worksheet Created Date 12 4 2017 3 09 30 PM

9 24 7 Mini Vocab Proofs No Homework 9 25 8 9 QUIZ Deciphering SAS ASA SSS AAS HL Worksheet SSS SAS ASA and AAS Congruence 9 26 10 Proving Triangles Congruent Geometry Practice GG28 1 9 27 11 Proving Triangles Congruent Continued Proof Homework Worksheet 9 30 12 13 CPCTC CPCTC Homework Worksheet 10 1 14 QUIZ I can write a two column proof to show that two triangles are congruent PRACTICE Triangle Proofs Worksheet Part 1 Tuesday 11 13 12 4 6 Triangle Proofs with CPCTC QUIZ I can write a two column proof to show that two triangles are congruent PRACTICE Triangle Proofs Worksheet Part 2 Wednesday 11 14 12 or Thursday 11 15 12

Congruent Triangle Proofs Cpctc Worksheet

Congruent Triangle Proofs Cpctc Worksheet
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The theorem CPCTC tells that when two triangles are congruent then their corresponding sides and angles are also said to be congruent For example triangle ABC and triangle PQR are congruent triangles therefore according to the theorem the sides AB PQ BC QR and CA RP Also A P B Q and C R 1 To use triangle congruence and CPCTC to prove that parts of two triangles are congruent Examples 1 Real World Connection 2 Real World Connection Math Background Proving triangles congruent is usually not an end in itself

Practice 3 The proof below uses CPCTC to prove that the diagonals of a rhombus bisect the shape s angles This proof relies upon CPCTC All that is necessary for this proof is the following definition for a rhombus a parallelogram with four congruent sides Vertical angles are congruent therefore triangles are congruent angle side angle NOTE Since C D and D A then A 6 Why are the triangles congruent Since they are radii of the circle the 4 marked sides are congruent Vertical angles Triangles congruent by side angle side CPCTC is Coresponding Parts of Congruent Triangles are Congruent

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For each problem do the following Show the given information in the diagram using tick marks to show congruent sides and arcs to show congruent angles Show any other congruent parts you notice from vertical angles sides shared in common or alternate interior angles with parallel lines About This Quiz Worksheet This quiz and corresponding worksheet assess your understanding of CPCTC or corresponding parts of congruent triangles are congruent Practice problems assess your

CPCTC Geometry 4 6 If you can show that two triangles are congruent then their corre sponding parts are also congruent CPCTC Corresponding Parts of Congruent Triangles are Congruent We will use this shortcut when writing Two Column Proofs In a two column proof statements are made in the left column and justifi CPCTC is an acronym for corresponding parts of congruent triangles are congruent CPCTC is commonly used at or near the end of a proof which asks the student to show that two angles or two sides are congruent It means that once two triangles are proven to be congruent then the three pairs of sides that correspond must be congruent and the

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Congruent Triangle Proofs Cpctc Worksheet - Practice 3 The proof below uses CPCTC to prove that the diagonals of a rhombus bisect the shape s angles This proof relies upon CPCTC All that is necessary for this proof is the following definition for a rhombus a parallelogram with four congruent sides