Midpoint and distance formula

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the distance formula?
Back
The distance formula is used to determine the distance between two points in a coordinate plane. It is given by: d = √((x2 - x1)² + (y2 - y1)²).
2.
FLASHCARD QUESTION
Front
How do you find the midpoint between two points?
Back
The midpoint between two points (x1, y1) and (x2, y2) is calculated using the formula: M = ((x1 + x2)/2, (y1 + y2)/2).
3.
FLASHCARD QUESTION
Front
Find the distance between the points (1, 2) and (4, 6).
Back
d = √((4 - 1)² + (6 - 2)²) = √(3² + 4²) = √(9 + 16) = √25 = 5.
4.
FLASHCARD QUESTION
Front
What is the significance of the distance formula in geometry?
Back
The distance formula helps in determining the length of line segments, which is essential for solving problems related to geometry, such as finding the perimeter of shapes.
5.
FLASHCARD QUESTION
Front
Calculate the distance between the points (0, 0) and (3, 4).
Back
d = √((3 - 0)² + (4 - 0)²) = √(3² + 4²) = √(9 + 16) = √25 = 5.
6.
FLASHCARD QUESTION
Front
What is the midpoint of the points (2, 3) and (4, 7)?
Back
M = ((2 + 4)/2, (3 + 7)/2) = (3, 5).
7.
FLASHCARD QUESTION
Front
Find the distance between the points (-1, -1) and (1, 1).
Back
d = √((1 - (-1))² + (1 - (-1))²) = √(2² + 2²) = √(4 + 4) = √8 = 2√2.
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