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


Triangle DEF has a point B on side DE and point C on side DF. The line BC is parallel to the line 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 point

The figure shows triangle DEF and line segment BC which is parallel to EFTriangle DEF has a point B on side DE and point C on side DF The line BC is parallel to class=

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Part A: Yes, Triangle DEF and DBC are the same triangle, but DBC is smaller than DEF because it is just a cut off of DEF.

Part B: I am pretty sure it is angle C.

Part C: I am pretty sure it is angle D.

Answer:

Step-by-step explanation:

Part A.

m < B = m < E   (corresponding angles, (BC parallel to EF))

m < C = m < F   ( as above)

So triangles DBC and DEF are similar ( by 2 equal angles).

Part B.

Line segment BC   ( as they are both opposite  < D)

Part C.

< C as its in same relative position to < F.

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