Question

The figure shows triangle ABC and line segment PQ, which is parallel to BC:

Triangle ABC has a point P on side AB and point Q on side AC. The line PQ is parallel to the line BC.
PLS HELP 100 POINTS WHO HELPS ME Part A: Is triangle ABC similar to triangle APQ? Explain using what you know about triangle similarity. (5 points)

Part B: Which line segment on triangle APQ corresponds to line segment BC? Explain your answer. (3 points)

Part C: Which angle on triangle APQ corresponds to angle B? Explain your answer

Answer 1

Step-by-step explanation:

∵PQ=RSandPN∥QM

⇒∠RPN=∠SQM⟶(1)

andPR=QS⟶(2)

also,RN∥SM

⇒∠PRN=∠QSM⟶(3)

Then,△PRN≅△QSM(byASA)

⇒PN=QMandRN=SM(CPCT)

since,PN∥QMandPN=QM

⇒PQMNisaparallelogram

similarly,RN∥SMandRN=SM

⇒RSMNisaparallelogram

Thus,PQ=MNandPQ∥MN

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