What is the formula to find the coordinates of a point that is a certain fraction of the distance between two points A(x1, y1) and C(x2, y2)?
Day 1 - #1-12 Fall Geometry Final Exam Review

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Mathematics
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10th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The coordinates of point B that is k fraction of the distance from A to C can be found using the formula: B = (1-k)A + kC, where k is the fraction.
2.
FLASHCARD QUESTION
Front
How do you determine the quadrant of a point given its coordinates (x, y)?
Back
A point (x, y) is in Quadrant I if x > 0 and y > 0, Quadrant II if x < 0 and y > 0, Quadrant III if x < 0 and y < 0, and Quadrant IV if x > 0 and y < 0.
3.
FLASHCARD QUESTION
Front
What is the slope of a line perpendicular to a line with slope m?
Back
The slope of a line perpendicular to a line with slope m is -1/m.
4.
FLASHCARD QUESTION
Front
What is the distance formula between two points B(w, x) and O(y, z)?
Back
5.
FLASHCARD QUESTION
Front
How do you find the midpoint PM of a line segment with endpoints P(x1, y1) and M(x2, y2)?
Back
The midpoint PM is calculated using the formula: PM = ((x1 + x2)/2, (y1 + y2)/2).
6.
FLASHCARD QUESTION
Front
What is the condition for two lines to be parallel?
Back
Two lines are parallel if they have the same slope.
7.
FLASHCARD QUESTION
Front
What is the equation of a line in slope-intercept form?
Back
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