Distance and Midpoint Formulas

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2)?
Back
Distance = √((x2 - x1)² + (y2 - y1)²)
2.
FLASHCARD QUESTION
Front
What is the midpoint formula used to find the midpoint between two points (x1, y1) and (x2, y2)?
Back
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
3.
FLASHCARD QUESTION
Front
Calculate the distance between the points (1, 2) and (4, 6).
Back
Distance = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5
4.
FLASHCARD QUESTION
Front
Find the midpoint of the points (2, 3) and (4, 7).
Back
Midpoint = ((2 + 4)/2, (3 + 7)/2) = (3, 5)
5.
FLASHCARD QUESTION
Front
What does the distance formula represent in a coordinate plane?
Back
It represents the straight-line distance between two points.
6.
FLASHCARD QUESTION
Front
If the distance between two points is 10 units, what could be the coordinates of these points?
Back
Examples: (0, 0) and (10, 0), or (3, 4) and (3, -6) etc.
7.
FLASHCARD QUESTION
Front
What is the significance of the midpoint in geometry?
Back
The midpoint divides a line segment into two equal parts.
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