
Understanding Geometric Concepts and Paradoxes

Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Hard

Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the perimeter of the square that perfectly inscribes a circle with a diameter of 1?
5
3
2
4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What conclusion is questioned in the paradox involving the circle and square?
Pi equals 5
Pi equals 4
Pi equals 3
Pi equals 2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the unit square problem, what is the path length of the staircase path from one corner to the opposite corner?
2
1
3
4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical concept is used to show that the staircase path approaches the diagonal path?
Circumference halving
Area shrinking to zero
Perimeter doubling
Volume increasing
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the true length of the diagonal in the unit square problem according to the Pythagorean theorem?
1
Square root of 2
2
Square root of 3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the area shrinking to zero in the staircase path problem?
It proves the paths are equal
It shows the paths are parallel
It indicates the paths approach each other
It suggests the paths diverge
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the length of the path in the staircase problem regardless of the number of iterations?
1
3
4
2
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