Question

given: eh bisects dg
de || gh
prove: de ≅ gh
step statement reason
2 de || gh given
3 ∠dfe ≅ ∠gfh vertical angles property
4 de ≅ gh
validate
please select a rule.
reason?

Explanation:

Step1: Identify Vertical Angles

∠DFE and ∠GFH are vertical angles (formed by intersecting lines DG and EH at F). By the Vertical Angles Property, vertical angles are congruent. So the reason for ∠DFE ≅ ∠GFH is the Vertical Angles Property.

Step2: Confirm the Reason

The option "Vertical Angles Property" matches the geometric principle that vertical angles are congruent, which applies to ∠DFE and ∠GFH.

Answer:

Vertical Angles Property