EXAMPLE 4 Find a minimum distance Parking You are going to buy books. Your friend is going to buy CDs. Where should you park to minimize the distance you.

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EXAMPLE 4 Find a minimum distance Parking You are going to buy books. Your friend is going to buy CDs. Where should you park to minimize the distance you both will walk?

EXAMPLE 4 Find a minimum distance SOLUTION Reflect B in line m to obtain B ′. Then draw AB ′. Label the intersection of AB ′ and m as C. Because AB ′ is the shortest distance between A and B ′ and BC = B ′ C, park at point C to minimize the combined distance, AC + BC, you both have to walk.

GUIDED PRACTICE for Example 4 6. Look back at Example 4. Answer the question by using a reflection of point A instead of point B. ANSWER Reflect A in line m obtaining A ′. Then draw A ′ B. Label the intersection of m and A ′ B as C. Because A ′ B is the shortest distance between A ′ and B and AC = A ′ C, park at point C to minimize the combined distance, AC + BC, you both have to walk.