The figure shows triangle def and line segment bc, which is parallel to ef:
part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. (5 points)

part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. (3 points)

part c: which angle on triangle dbc corresponds to angle f? explain your answer. (2 points)

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.

What passage? there is none

What story is it we're talking about?