What is the Pythagorean Theorem?
Distance pythag - no scaling

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: c² = a² + b².
2.
FLASHCARD QUESTION
Front
How do you calculate the distance between two points in a coordinate plane?
Back
To calculate the distance (d) between two points (x1, y1) and (x2, y2), use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).
3.
FLASHCARD QUESTION
Front
What is the distance between the points (3, 4) and (7, 1)?
Back
Using the distance formula: d = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.
4.
FLASHCARD QUESTION
Front
What is the distance between the points (1, 2) and (4, 6)?
Back
Using the distance formula: d = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.
5.
FLASHCARD QUESTION
Front
What is the distance between the points (0, 0) and (5, 5)?
Back
Using the distance formula: d = √((5 - 0)² + (5 - 0)²) = √(25 + 25) = √50 = 5√2.
6.
FLASHCARD QUESTION
Front
What is the distance between the points (2, 3) and (2, 7)?
Back
Using the distance formula: d = √((2 - 2)² + (7 - 3)²) = √(0 + 16) = √16 = 4.
7.
FLASHCARD QUESTION
Front
What is the distance between the points (1, 1) and (4, 5)?
Back
Using the distance formula: d = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.
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