Chapter 13.1, Problem 1PE

(a)

To determine

To fill: The blanks provided in the statement “The distance between two distinct points $\left(x_1,y_1\right)\text{ and }\left(x_2,y_2\right)$ is given by $d=$ _____________.”

(b)

To determine

To fill: The blanks provided in the statement “A ___________ is the set of all points equidistant from a fixed point called the _____________.”

(c)

To determine

To fill: The blanks provided in the statement “The distance from the center of a circle to any point on the circle is called the ______ and is often denoted by $r$ ”

(d)

To determine

To fill: The blanks provided in the statement “The standard equation of a circle with center $\left(h,k\right)$ and radius $r$ is given by___________.”

(e)

To determine

To fill: The blanks provided in the statement “The midpoint of the line segment with endpoint $\left(x_1,y_1\right)\text{ and }\left(x_2,y_2\right)$ is given by___________.”