Distance and Midpoint
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula 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 for 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 (2, 3) and (5, 7).
Back
Distance = √((5 - 2)² + (7 - 3)²) = √(9 + 16) = √25 = 5.
4.
FLASHCARD QUESTION
Front
If point M(3, 4) is the midpoint of line segment AB, and point A is (-1, 6), what is the coordinates of point B?
Back
B = (2 * M - A) = (2 * (3, 4) - (-1, 6)) = (6 + 1, 8 - 6) = (7, 2).
5.
FLASHCARD QUESTION
Front
What is the distance between the points (1, 1) and (4, 5)?
Back
Distance = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.
6.
FLASHCARD QUESTION
Front
Find the midpoint of the segment with endpoints (4, 12) and (-6, 14).
Back
Midpoint = ((4 + (-6))/2, (12 + 14)/2) = (-1, 13).
7.
FLASHCARD QUESTION
Front
What does the distance formula represent in a coordinate plane?
Back
It represents the straight-line distance between two points.
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