Please use the following images in order to answer the question correctly:

Tell whether the line or segment is best described as a radius, chord, diameter, secant, or tangent of ⨀O.

Fill in the blanks below by using the images below:
1) AB-(Blank)
2) DB-(Blank)
3) AB-(Blank)
4) OB-(Blank)
5) BC-(Blank)

Given:

The line segments are AB, DB, AB, OB and BC

We need to determine the given line segments are radius, chord, diameter, secant or tangent of circle O.

Line segment AB:

A secant is a line segment that intersects the circle at two points.

Thus, the line segment AB is a secant.

Line segment DB ():

The diameter of the circle is line that passes through the center and touches the two ends of the circle.

Thus, from the figure, the line segment DB passes through the center and touches the two ends of the circle.

Hence, the line segment DB is the diameter.

Line segment AB ():

The line joining any two points on the circle is called the chord of the circle.

Thus, from the figure, the line segment AB touches the two points on the circle.

Hence, the line segment is the chord of the circle.

Line segment OB ():

The radius of the circle is any line from the center of the circle to any point on the circle.

Thus, from the figure, the line segment OB is a line from center of the circle to the point B on the circle.

Hence, the line segment is the radius of the circle.

Line segment BC:

A tangent is a point that touches the exterior point of the circle exactly one time.

Thus, from the figure, the line segment BC is a touches the circle exactly once.

Hence, the line segment BC is the tangent of the circle.

1) secant

2) diameter

3) chord

4) radius

5) tangent

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

step-by-step explanation: