Question

name:
class:
date:
question #1
(diagram of a circle with points a, b, c, d, e, f)
click and drag to label the parts of the circle.
$overline{ac}$
$overline{fb}$
$overline{ed}$
$f$
(options: center, chord, radius, diameter)

Explanation:

Step1: Analyze \(\overline{AC}\)

A diameter of a circle is a chord that passes through the center. \(\overline{AC}\) passes through the center \(F\) and connects two points on the circle, so it is a diameter.

Step2: Analyze \(\overline{FB}\)

A radius is a line segment from the center to a point on the circle. \(\overline{FB}\) goes from center \(F\) to point \(B\) on the circle, so it is a radius.

Step3: Analyze \(\overline{ED}\)

A chord is a line segment connecting two points on a circle. \(\overline{ED}\) connects \(E\) and \(D\) (both on the circle) but does not pass through the center, so it is a chord.

Step4: Analyze \(F\)

The center of a circle is the point equidistant from all points on the circle. \(F\) is the middle point of the circle, so it is the center.

Answer:

• \(\overline{AC}\): Diameter
• \(\overline{FB}\): Radius
• \(\overline{ED}\): Chord
• \(F\): Center