Coordinate Geometry

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the distance formula in coordinate geometry?
Back
The distance between two points (x1, y1) and (x2, y2) is given by the formula: \(d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\).
2.
FLASHCARD QUESTION
Front
How do you find the midpoint of a line segment?
Back
The midpoint M of a segment with endpoints (x1, y1) and (x2, y2) is given by: \(M = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right)\).
3.
FLASHCARD QUESTION
Front
What is the area of a rectangle?
Back
The area A of a rectangle is calculated using the formula: \(A = length \times width\).
4.
FLASHCARD QUESTION
Front
What is the perimeter of a rectangle?
Back
The perimeter P of a rectangle is calculated using the formula: \(P = 2 \times (length + width)\).
5.
FLASHCARD QUESTION
Front
How do you calculate the area of a polygon given its vertices?
Back
To find the area of a polygon with vertices, use the shoelace formula or divide the polygon into triangles and sum their areas.
6.
FLASHCARD QUESTION
Front
What is the formula for the area of a triangle?
Back
The area A of a triangle is given by: \(A = \frac{1}{2} \times base \times height\).
7.
FLASHCARD QUESTION
Front
What is the significance of the coordinates in coordinate geometry?
Back
Coordinates represent points in a plane, defined by an ordered pair (x, y), where x is the horizontal position and y is the vertical position.
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