Midpoint
Flashcard
•
Mathematics
•
8th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a midpoint in geometry?
Back
The midpoint is the point that divides a line segment into two equal parts, located halfway between the endpoints.
Tags
CCSS.HSG.GPE.B.6
2.
FLASHCARD QUESTION
Front
How do you find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?
Back
The midpoint M is calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2).
Tags
CCSS.HSG.GPE.B.6
3.
FLASHCARD QUESTION
Front
Given the midpoint (3, 4) and one endpoint (-1, 6), how do you find the other endpoint?
Back
Use the formula: Other endpoint = (2 * midpoint - given endpoint). For this case, it is (2*3 - (-1), 2*4 - 6) = (7, 2).
Tags
CCSS.HSG.GPE.B.6
4.
FLASHCARD QUESTION
Front
What is the formula to find an endpoint when given the midpoint and the other endpoint?
Back
Endpoint = (2 * midpoint - other endpoint).
Tags
CCSS.HSG.GPE.B.6
5.
FLASHCARD QUESTION
Front
If the endpoints of a segment are (4, 12) and (-6, 14), what is the midpoint?
Back
The midpoint is calculated as M = ((4 + (-6))/2, (12 + 14)/2) = (-1, 13).
Tags
CCSS.HSG.GPE.B.6
6.
FLASHCARD QUESTION
Front
How do you find the missing endpoint if one endpoint is at (-9, -1) and the midpoint is (-2, -6)?
Back
Use the formula: Missing endpoint = (2 * midpoint - known endpoint). Here, it is (2 * (-2) - (-9), 2 * (-6) - (-1)) = (5, -11).
Tags
CCSS.HSG.GPE.B.6
7.
FLASHCARD QUESTION
Front
What is the significance of the midpoint in coordinate geometry?
Back
The midpoint helps in determining the center point of a line segment, which is useful in various geometric constructions and proofs.
Tags
CCSS.HSG.GPE.B.6
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