Question 1: Once you have the minimal path, what appears to be true about the incoming angle and the outgoingangle?

15 So far you have dragged the point River to find an approximate minimal path. Next you will discover how to

construct such a path.

16 Reflect the point TentFire in the line AB that represents the river to create point TentFire’

17 Construct the segment from Camper to TentFire’. Change the style of this segment to dashed.

Answer: Once we constructed the minimal path the outgoing angle became relatively smaller than the incoming angle. This is because of the distance of the camper too the river which was greater than the distance of the river to the tent fire.

Question 2: Why is the segment from Camper to TentFire’ the shortest path? Briefly explain.

Answer: The segment of camper to the tent fire was the shortest because it skips going to three points instead of two. The distance is short because it skips the river which would make the camper have to go out of the way too complete the path.

Question 3: Where should point River be located in relation to the segment Camper to TentFire’ and line AB so that

the sum of the distances is minimized? Drag point River to test your conjecture.

Answer: In order for the sum of the distances to be less the river should be located in line with the camper and tent fire. This would greatly decrease the diastase that would have to be travel.

15 So far you have dragged the point River to find an approximate minimal path. Next you will discover how to

construct such a path.

16 Reflect the point TentFire in the line AB that represents the river to create point TentFire’

17 Construct the segment from Camper to TentFire’. Change the style of this segment to dashed.

Answer: Once we constructed the minimal path the outgoing angle became relatively smaller than the incoming angle. This is because of the distance of the camper too the river which was greater than the distance of the river to the tent fire.

Question 2: Why is the segment from Camper to TentFire’ the shortest path? Briefly explain.

Answer: The segment of camper to the tent fire was the shortest because it skips going to three points instead of two. The distance is short because it skips the river which would make the camper have to go out of the way too complete the path.

Question 3: Where should point River be located in relation to the segment Camper to TentFire’ and line AB so that

the sum of the distances is minimized? Drag point River to test your conjecture.

Answer: In order for the sum of the distances to be less the river should be located in line with the camper and tent fire. This would greatly decrease the diastase that would have to be travel.