Answer:
ΔBDC ≅ ΔFDE
Step-by-step explanation:
The proof is given below
To prove ΔBDC ≅ ΔFDE
Statements reasons
1). BC║EF - Given
2). D is the mid point - Given
3). BD = DF - Definition of midpoint
4). <BDC = <FDE - Vertically opposite angles are equal
5). <CBD = <DFE - alternate interior angles of parallel lines are
congruent
6). ΔBDC ≅ ΔFDE ASA rule
Therefore ΔBDC ≅ ΔFDE. Hence the proof.
