Question

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

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. (2 points)

Answer 1

Answer:

A-PART) SINCE PQ||BC

               THEREFORE, ∠ABC=∠APQ  AND,   ∠ACB=∠AQP

               THEREFORE, BY (AA SIMILARITY RULE) ΔABC≈ΔAPQ

B-PART)  AB CORRESPONDS PQ BECAUSE BY CPST (CORRESPONDING                                

                PARTS OF SIMILAR TRIANGLES ARE SIMILAR)

C-PART)  ∠B IS SIMILAR TO ∠APQ  BECAUSE BY CPST (CORRESPONDING                                

                PARTS OF SIMILAR TRIANGLES ARE SIMILAR)

Step-by-step explanation:

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