Question

1. in which of the following situations would it be appropriate to use the midpoint formula?

○ to determine the length of fencing needed along one side of your yard.
○ to calculate the amount of string needed for a clothesline.
○ to hang a lamp in the center of a room.
○ to find the distance between your home and school.

Explanation:

The midpoint formula is used to find the point that is exactly halfway between two points. Let's analyze each option:

• "To determine the length of fencing needed along one side of your yard" involves finding a length, not a midpoint.
• "To calculate the amount of string needed for a clothesline" is about length, not a midpoint.
• "To hang a lamp in the center of a room" – the center of the room (assuming the room is a rectangle or defined by two opposite corners) would be the midpoint between two opposite corners of the room. So this situation requires finding the midpoint.
• "To find the distance between your home and school" uses the distance formula, not the midpoint formula.

Answer:

The option "To hang a lamp in the center of a room" (the third option from the left, or the one with the text "To hang a lamp in the center of a room")