midpoint and distance formula

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the midpoint formula for finding the midpoint between two points (x1, y1) and (x2, y2)?
Back
The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).
2.
FLASHCARD QUESTION
Front
How do you calculate the distance between two points (x1, y1) and (x2, y2)?
Back
The distance d is calculated using the formula d = √((x2 - x1)² + (y2 - y1)²).
3.
FLASHCARD QUESTION
Front
What is the definition of a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
4.
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): c² = a² + b².
5.
FLASHCARD QUESTION
Front
What is the opposite operation of squaring a number?
Back
The opposite operation of squaring a number is taking the square root.
6.
FLASHCARD QUESTION
Front
What is the midpoint of the segment with endpoints (2, 4) and (8, 10)?
Back
The midpoint is (5, 7).
7.
FLASHCARD QUESTION
Front
If the coordinates of two points are (3, 4) and (7, 1), what is the distance between them?
Back
The distance is √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.
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