Semester Review - Module 1

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•
Mathematics
•
8th Grade
•
Hard
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14 questions
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1.
FLASHCARD QUESTION
Front
What is the formula to find the midpoint between two points (x1, y1) and (x2, y2)?
Back
The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).
2.
FLASHCARD QUESTION
Front
What is the midpoint between the points (3, -1) and (7, -5)?
Back
(5, -3)
3.
FLASHCARD QUESTION
Front
If point A is at (-4, 2) and the midpoint M is at (8, 7), how do you find the other endpoint B?
Back
Use the formula B = (2M - A). In this case, B = (2(8, 7) - (-4, 2)) = (20, 12).
4.
FLASHCARD QUESTION
Front
What is a weighted average?
Back
A weighted average is an average that takes into account the relative importance of each value. It is calculated by multiplying each value by its weight, summing these products, and then dividing by the total weight.
5.
FLASHCARD QUESTION
Front
Calculate the weighted average of points A (-3) and B (9) with weights 2 and 3 respectively.
Back
The weighted average P = (2 * -3 + 3 * 9) / (2 + 3) = 4.2.
6.
FLASHCARD QUESTION
Front
What does it mean for a point to be the midpoint of a segment?
Back
A midpoint divides a segment into two equal parts, meaning the distances from the midpoint to each endpoint are the same.
7.
FLASHCARD QUESTION
Front
If R is the midpoint of segment QS, how do you find the length of segment QS?
Back
The length of segment QS is twice the distance from R to either endpoint.
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