Question

an ellipse has two foci and two axes: the

the two axes intersect at the

the two foci are always on the

the distance from any point on the ellipse to one
plus the distance from that point to the other
is equal to a constant value.

that constant value is equal to the length of the

constant value of an ellipse
distance from any point on the ellipse to one
+
distance from that point on the ellipse to other
=
length of the ellipses

1. complete the diagram labels, descriptions, and equation. write center, focus, vertex, asymptote, or transverse axis in each blank.

hyperbola

Explanation:

An ellipse has a major axis (the longest diameter) and a minor axis (the shortest diameter). These axes intersect at the center of the ellipse. The foci of an ellipse are on the major axis. By the definition of an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant and equal to the length of the major axis.

Answer:

• An ellipse has two foci and two axes: the major axis and the minor axis.
• The two axes intersect at the center.
• The two foci are always on the major axis.
• The distance from any point on the ellipse to one focus plus the distance from that point to the other focus is equal to a constant value.
• That constant value is equal to the length of the major axis.