Question

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.

Answer 1

Answer:

See explanation.

Step-by-step explanation:

Given: $\overline{CB}\parallel \overline {ED}$

Consider triangles CBF and EDF. In these triangles,

• $\overline {CB}\cong \overline{ED}$ - given;

• $\angle FCB\cong \angle FED$ - as alternate interior angles when two parallel lines CB and ED are cut by transversal CE;

• $\angle FBC\cong \angle FDE$ - 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.