Distance, Midpoint, & Pythagorean Theorem

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Pythagorean Theorem?
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 is expressed as: a² + b² = c².
2.
FLASHCARD QUESTION
Front
What is the formula to calculate the distance between two points (x1, y1) and (x2, y2)?
Back
The distance formula is: d = √((x2 - x1)² + (y2 - y1)²).
3.
FLASHCARD QUESTION
Front
What is the midpoint formula for two points (x1, y1) and (x2, y2)?
Back
The midpoint formula is: M = ((x1 + x2)/2, (y1 + y2)/2).
4.
FLASHCARD QUESTION
Front
Is side a on a right triangle always the longest side?
Back
No, side a is not always the longest side; the longest side is the hypotenuse.
5.
FLASHCARD QUESTION
Front
What is the distance between the points (-4, 5) and (7, 18)?
Back
The distance is 17.03.
6.
FLASHCARD QUESTION
Front
What is the distance between the points (-3, -11) and (8, -42)?
Back
The distance is 32.9.
7.
FLASHCARD QUESTION
Front
What is the midpoint between the points (3, -1) and (8, -6)?
Back
The midpoint is (5.5, -3.5).
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