Properties of Ellipses Flashcardizz

Front

What is the standard form of an ellipse?

Back

(x-h)²/a² + (y-k)²/b² = 1

Front

What is the center of the ellipse?

Back

The center of the ellipse is the point (h, k).

Front

What is the major axis of an ellipse?

Back

The line that contains the center and the foci of the ellipse.

Front

What are the vertices of an ellipse?

Back

The points where the ellipse intersects the major axis.

Front

What is the minor axis of an ellipse?

Back

The line perpendicular to the major axis that passes through the center.

Front

What is the definition of an ellipse?

Back

A set of points in a plane such that the sum of the distances from two fixed points (foci) is constant.

Front

How do you find the foci of an ellipse?

Back

The foci are located at (h ± c, k) for horizontal ellipses and (h, k ± c) for vertical ellipses, where c = √(a² - b²).

Front

What is the relationship between a, b, and c in an ellipse?

Back

c² = a² - b², where a is the semi-major axis and b is the semi-minor axis.

Front

What is the length of the major axis?

Back

The length of the major axis is 2a.

Front

What is the length of the minor axis?

Back

The length of the minor axis is 2b.