Question

question 4 of 10

in the ellipse shown below, each point marked with a dot is called a(n)

a. vertex
b. center
c. axis
d. focus

Explanation:

Identify the geometric features of an ellipse

An ellipse is defined as the set of all points in a plane such that the sum of the distances from two fixed points is constant. These two fixed points are located along the major axis inside the ellipse.

Match the marked dots with the definition

The two dots shown inside the ellipse represent these two fixed points. Individually, each of these points is called a focus (plural: foci).

Evaluate the given options

• A. vertex: The vertices are the endpoints of the major axis on the ellipse boundary.
• B. center: The center is the midpoint of the segment connecting the two foci.
• C. axis: An axis is a line of symmetry (major or minor axis).
• D. focus: Each marked dot represents a focus of the ellipse.

Answer:

• (A) vertex
• (B) center
• (C) axis
• (D) focus (Correct answer)