Question

Prove bn=dn..........​

Answer 1

See Below.

Explanation:

We can write a two-column proof.

Statements: Reasons:

`\displaystyle 1) \text{ } N \text{ is the midpoint of } \overline{AE}` Given

`\displaystyle 2) \text{ } \angle 1 \cong \angle 2` Given

`\displaystyle 3) \text{ } \angle A \cong \angle E` Given

`\displaystyle 4) \text{ } \overline{AN} \cong \overline{NE}` Definition of Midpoint

`\displaystyle 5) \text{ } \Delta ABN \cong \Delta EDN` ASA Congruence

`\displaystyle 6) \text{ } \overline{BN} \cong \overline{DN}` CPCTC