What is the main challenge in pairing red and blue points in the plane?
Can you always pair an equal number of red and blue points with no intersection?

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Mathematics, Science
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Ensuring each point is paired with multiple points
Ensuring no three points are collinear
Ensuring each point is paired with a point of the same color
Ensuring no line segments intersect
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the pairing configurations ordered in the solution?
By the color of the points
By the number of points
By the total length of line segments
By the number of intersections
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of ordering the pairing configurations by total length?
It simplifies the calculation of distances
It ensures the shortest configuration has no intersections
It helps identify the longest configuration
It groups configurations by color
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What geometric shape is used in the proof to show a reduction in total length?
Pentagon
Quadrilateral
Circle
Triangle
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the key property of the quadrilateral used in the proof?
It is a regular quadrilateral
Its diagonals are longer than its sides
It has no right angles
It has equal sides
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the condition for the maximum distance between points in the related problem?
The distance is exactly 1
The distance is less than 1
The distance is more than 1
The distance is variable
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be proven about the number of pairs with maximum distance in the related problem?
It is always greater than the number of points
It is always less than or equal to the number of points
It is always equal to the number of points
It is always less than the number of points
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