Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
2. Reflections
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Exercise 30 Page 187

Find the segment connecting A and B that has the shortest distance between them.

C(9,0)

Practice makes perfect
Let's begin by plotting the two given points.

Point C will be the point where the segment connecting points A and B intersects the x-axis.

Note that AB has the shortest distance between A and B. Therefore, if C has the coordinates (9,0), the distance AC+BC is minimized.