Midpoint Formula

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•
Mathematics
•
9th - 12th Grade
•
Hard
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14 questions
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1.
FLASHCARD QUESTION
Front
What is the Midpoint Formula?
Back
The Midpoint Formula is used to find the midpoint (M) between two points (x1, y1) and (x2, y2) in a coordinate plane. It is given by: M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right).
2.
FLASHCARD QUESTION
Front
Find the midpoint between (2, 3) and (4, 7).
Back
M = \left(\frac{2 + 4}{2}, \frac{3 + 7}{2}\right) = (3, 5).
3.
FLASHCARD QUESTION
Front
What is the y-coordinate of the midpoint of the line segment connecting (1, 2) and (3, 4)?
Back
The y-coordinate of the midpoint is \frac{2 + 4}{2} = 3.
4.
FLASHCARD QUESTION
Front
Find the midpoint between (-4, 4) and (-2, 2).
Back
M = \left(\frac{-4 + (-2)}{2}, \frac{4 + 2}{2}\right) = (-3, 3).
5.
FLASHCARD QUESTION
Front
What is the midpoint of the line segment connecting (0, 0) and (6, 8)?
Back
M = \left(\frac{0 + 6}{2}, \frac{0 + 8}{2}\right) = (3, 4).
6.
FLASHCARD QUESTION
Front
If point A is (1, 2) and point B is (5, 6), what is the midpoint?
Back
M = \left(\frac{1 + 5}{2}, \frac{2 + 6}{2}\right) = (3, 4).
7.
FLASHCARD QUESTION
Front
What is the midpoint between (3, -1) and (7, -5)?
Back
M = \left(\frac{3 + 7}{2}, \frac{-1 + (-5)}{2}\right) = (5, -3).
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