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Questions and Answers
What is the formula for the midpoint of a line segment in n-dimensional space?
What is the formula for the midpoint of a line segment in n-dimensional space?
- $\frac{A-B}{2}$
- $A + B$
- $A \times B$
- $\frac{A+B}{2}$ (correct)
What does the midpoint of a line segment do?
What does the midpoint of a line segment do?
- It bisects the segment (correct)
- It shrinks the segment
- It rotates the segment
- It extends the segment
How can the midpoint of a line segment be located in a plane using a compass and straightedge construction?
How can the midpoint of a line segment be located in a plane using a compass and straightedge construction?
- By creating a triangle with the two endpoints and finding the centroid
- By drawing a circle around one endpoint and finding the intersection with the segment
- By drawing a straight line between the two endpoints
- By constructing a lens using circular arcs of equal radii centered at the two endpoints, then connecting the cusps of the lens (correct)
What is the property of the midpoint in relation to the endpoints?
What is the property of the midpoint in relation to the endpoints?
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Which of the following is the correct expression for the ith coordinate of the midpoint in n-dimensional space?
Which of the following is the correct expression for the ith coordinate of the midpoint in n-dimensional space?
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