Answer:
D, E, F, B, C, A, G
Step-by-step explanation:
D is the midpoint of AB, E is the midpoint of BC and DB || FC
This is given information from the diagram and statement.
∠B ≅ ∠FCE
Since DB and FC are parallel, ∠B and ∠FCE are alternate interior angles, and therefore congruent.
∠BED ≅ ∠CEF
∠BED and ∠CEF are vertical angles, and therefore congruent.
ΔBED ≅ ΔCEF
By angle-side-angle, these triangles are congruent.
DE ≅ FE, DB ≅ FC
Corresponding parts of congruent triangles are congruent.
AD ≅ DB, DB ≅ FC, therefore AD ≅ FC
From transitive property of congruence.
ADFC is a parallelogram
Since AD and FC are congruent and parallel, ADFC is a parallelogram.
DE is parallel to AC
Since ADFC is a parallelogram, DE is parallel to AC by definition of a parallelogram.
