Prompt: There is a sewage treatment plant at the point where two rivers meet. You want to build a house near the two rivers (upstream from the sewage plant, naturally), but you want the house to be at least 5 miles from the sewage plant. You visit each of the rivers to go fishing about the same number of times but being lazy, you want to minimize the amount of walking you do. You want to fish the sum of the distanced from your house to the two rivers to be minimal, that is, the smallest distance.
This scenario fits all the requirements making it the perfect place to put the house. The shortest distance from the house to both the rivers doesn't interfere with the 5 mile radius of the sewage plant. The line from points C or D to the house is the minimal path. Where the house is located is the shortest distance to the rivers fulfilling all the requirements because it is at a 90 degree angle from the sewage plant. To find the shortest path from a point to a line is finding the perpendicular bisector.
In the process of making this lab, we used angle bisectors, a tangent line, angle measurement, critical thinking and carefully reading directions.