
Understanding Pythagoras' Theorem Proof
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the fundamental relationship described by Pythagoras' Theorem in a right-angled triangle?
a^2 + b^2 = c^2
a^2 - b^2 = c^2
a^2 + b^2 = 2c^2
a^2 = b^2 + c^2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of the geometric proof introduced in the video?
To solve algebraic equations
To provide a visual understanding of Pythagoras' Theorem
To demonstrate a new theorem
To calculate the area of a circle
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the larger square in the geometric proof?
It is used to calculate the perimeter
It represents the hypotenuse
It is used to visually demonstrate the theorem
It is irrelevant to the proof
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the area of the larger square initially calculated?
By multiplying the sides of the square
By subtracting the area of a circle
By dividing the square into smaller squares
By adding the areas of four triangles
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the expansion of (a + b)^2 represent in the proof?
The perimeter of the triangle
The volume of a cube
The area of the larger square
The area of a circle
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the alternative method to calculate the area of the larger square?
Using the area of a circle
Using the area of a rectangle
Using the area of a smaller square and four triangles
Using the area of a parallelogram
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the smaller square in the geometric proof?
It is irrelevant to the proof
It is used to calculate the perimeter
It is used to calculate the volume
It represents the hypotenuse squared
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