What is an ellipse?
Ellipses

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•
Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An ellipse is a geometric shape that looks like a stretched circle, defined as the set of points where the sum of the distances from two fixed points (foci) is constant.
2.
FLASHCARD QUESTION
Front
What are the major and minor axes of an ellipse?
Back
The major axis is the longest diameter of the ellipse, while the minor axis is the shortest diameter, perpendicular to the major axis.
3.
FLASHCARD QUESTION
Front
How do you find the center of an ellipse given its equation?
Back
For an ellipse in standard form (x-h)²/a² + (y-k)²/b² = 1, the center is at the point (h, k).
4.
FLASHCARD QUESTION
Front
What is the relationship between a, b, and c in an ellipse?
Back
In an ellipse, c² = a² - b², where a is the semi-major axis, b is the semi-minor axis, and c is the distance from the center to each focus.
5.
FLASHCARD QUESTION
Front
What does the term 'vertices' refer to in the context of an ellipse?
Back
Vertices are the points on the ellipse where it intersects the major axis.
6.
FLASHCARD QUESTION
Front
How do you determine the length of the major axis from the semi-major axis?
Back
The length of the major axis is twice the length of the semi-major axis (2a).
7.
FLASHCARD QUESTION
Front
What is the standard form of the equation of a horizontal ellipse?
Back
The standard form is (x-h)²/a² + (y-k)²/b² = 1, where a > b.
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