Chapter 9, Problem 1VR

Complete each statement with the correct term from the column on the right. Words may be used more than once or not at all.

center

intercept

vertex

parabola

circle

ellipse

hyperbola

horizontal

vertical

A(n) _______is the set of all points in a plane that are a fixed distance from a point in that plane.  [9.1d]

To determine

To fill: The blank space in the statement, ‘A(n) ___ is the set of all points in a place that are a fixed distance from a point in that plane’ from the provided choices in the other column.

Answer to Problem 1VR

Solution:

The complete statement is ‘A circle is the set of all points in a place that are a fixed distance from a point in that plane’.

Explanation of Solution

Given Information:

The provided choices, in the column are shown below,

Center

Intercept

Vertex

Parabola

Circle

Ellipse

Hyperbola

Horizontal

Vertical

Consider the incomplete statement, ‘A(n) ___ is the set of all points in a place that are a fixed distance from a point in that plane’.

A circle is defined as the set of all points in a place that are a fixed distance from a point in that plane.

All points on the boundary of the circle are at a fixed distance from the center of the circle. This distance is known as the radius.

Therefore, the complete statement is “A circle is the set of all points in a place that are a fixed distance from a point in that plane”.