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In completing the following proof, which of the following statements should be included?
Given: regular ΔDAF; midpoints B, C, E; ∠DBE ≅ ∠FCE
Prove: DB ≅ FC

In completing the following proof which of the following statements should be included Given regular ΔDAF midpoints B C E DBE FCE Prove DB FC class=

Respuesta :

Answer:

Option (2) CPCTC

Step-by-step explanation:

In the given regular triangle ADF, all sides and angles of the triangle will be equal

∠A = ∠D = ∠F = 60°  

And DE = EF [Since E is the midpoint of side DF]

                    Statements                   Reasons

1). ∠D ≅ ∠F                                        Given

2). ∠DBE ≅ ∠ECF                              Given

3). DE ≅ EF                                        Given

4). ΔDBE ≅ ΔECF                        By AAS property

Therefore, DB ≅ FC

Option (2) Corresponding parts of the congruent triangles are congruent (CPCTC)

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