Question

The figure shows triangle DEF and line segment BC, which is parallel to EF:

Answer 1

A:  The triangles are similar. We know this because of the AA similarity theorem.  Angle C and F are both right angles.  All right triangles are congruent (Definition of Right Angle)  Angle BDC is congruent to angle EDF(Reflexive Property)

B: BC corresponds to EF.  This is known because BD is part of ED making them correspond and DC is a part of DF making them correspond.  Leaving BC and EF(there are many reasons for it).

C: Angle C corresponds to angle F because 1 they are both right angles and 2 See answer B.