John folded a length of rope in half and then made a mark on the rope at the fold. Which of the following geometric principles did John model with the rope? (25 pts.) He created a collinear point.

He measured the length of a segment.

He found the midpoint of a segment.

He added two segments together.

C. He found the midpoint of a segment.

Step-by-step explanation:

The midpoint is the point that divides a segment into two equal parts. Thus it is located at the middle of the segment.

John used this simple method to determine the midpoint of a segment. For example, let a segment AB = 10 cm be folded in half. A point made at the fold would be at 5 cm, which is the midpoint of the segment.

Thus the appropriate answer to the question is option C.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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