If △CFE≅△PTR, complete each of the following statements:

CE¯¯¯¯¯¯¯¯ ≅

TR¯¯¯¯¯¯¯ ≅


∠P ≅∠

∠F ≅∠


△FEC ≅△

△RPT ≅△

If CFEPTR complete each of the following statements CE TR P F FEC RPT class=

Respuesta :

Based on the definition of congruent triangles, the statements will be completed as follows:

  • CE ≅ PR
  • TR ≅ FE
  • ∠P ≅ ∠C
  • ∠F ≅ ∠T
  • △FEC ≅ △TRP
  • △RPT ≅ △ECF

Recall the following about Congruent Triangles:

  • The three angles of one triangle is congruent to the three corresponding angles in another triangle if both triangles are congruent triangles.
  • The three sides of one triangle is congruent to the three corresponding sides in another triangle if both triangles are congruent triangles.

Given that △CFE≅△PTR, thus:

  • CE corresponds to PR, therefore CE ≅ PR
  • FE corresponds to TR, therefore FE ≅ TR
  • CF corresponds to PT, therefore CF ≅ PT
  • ∠P corresponds to ∠C, therefore ∠P ≅ ∠C
  • ∠T corresponds to ∠F, therefore ∠T ≅ ∠F
  • ∠R corresponds to ∠E, therefore ∠R ≅ ∠E

Thus, based on the definition of congruent triangles, the statements will be completed as follows:

  • CE ≅ PR
  • TR ≅ FE
  • ∠P ≅ ∠C
  • ∠F ≅ ∠T
  • △FEC ≅ △TRP
  • △RPT ≅ △ECF

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