Midpoint Formula (open)
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of midpoint?
Back
The point that divides a line segment into two equal parts.
Tags
CCSS.HSG.GPE.B.6
2.
FLASHCARD QUESTION
Front
What is the Midpoint Formula?
Back
The Midpoint Formula is given by the coordinates M = ((x1 + x2)/2, (y1 + y2)/2) where (x1, y1) and (x2, y2) are the endpoints of the line segment.
Tags
CCSS.HSG.GPE.B.6
3.
FLASHCARD QUESTION
Front
How do you find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?
Back
Use the Midpoint Formula: M = ((x1 + x2)/2, (y1 + y2)/2).
Tags
CCSS.HSG.GPE.B.6
4.
FLASHCARD QUESTION
Front
If the midpoint of a line segment is (5, 8) and one endpoint is (3, 6), how do you find the other endpoint?
Back
Use the formula: (x2, y2) = (2 * midpoint - x1, 2 * midpoint - y1). In this case, (x2, y2) = (2*5 - 3, 2*8 - 6) = (7, 10).
Tags
CCSS.HSG.GPE.B.6
5.
FLASHCARD QUESTION
Front
What is the significance of the midpoint in geometry?
Back
The midpoint is significant as it represents the center point of a line segment, which can be useful in various geometric constructions and proofs.
Tags
CCSS.HSG.GPE.B.6
6.
FLASHCARD QUESTION
Front
Can the midpoint of a line segment be a non-integer value?
Back
Yes, the midpoint can be a non-integer value depending on the coordinates of the endpoints.
Tags
CCSS.HSG.GPE.B.6
7.
FLASHCARD QUESTION
Front
What are the coordinates of the midpoint of the line segment with endpoints (2, 4) and (-6, 8)?
Back
The midpoint is (-2, 6).
Tags
CCSS.HSG.GPE.B.6
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