Outline the necessary transformations to prove CBF ≅ EDF using a paragraph proof. Be sure to name specific sides or angles used in the transformation and any congruency statements.

Outline the necessary transformations to prove CBF EDF using a paragraph proof Be sure to name specific sides or angles used in the transformation and any cong class=

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Answer:

See explanation.

Step-by-step explanation:

Given: [tex]\overline{CB}\parallel \overline {ED}[/tex]

Consider triangles CBF and EDF. In these triangles,

  • [tex]\overline {CB}\cong \overline{ED}[/tex] - given;
  • [tex]\angle FCB\cong \angle FED[/tex] - as alternate interior angles when two parallel lines CB and ED are cut by transversal CE;
  • [tex]\angle FBC\cong \angle FDE[/tex] - as alternate interior angles when two parallel lines CB and ED are cut by transversal BD.

By ASA postulate, triangles CBF and EDF are congruent.