Circle A is shown. Line segment A C goes from center A to point C on the circle. Line segment G F goes from point G on one side of the circle to point F on the other side of the circle. Line segment H E goes from one side of the circle to the other side of the circle. Line segment B D is outside of the circle and intersects the circle at point C. Identify the parts relating to CircleA. What is Line F G? What is Line segment D B? What is Line segment D H? What is AC?

The line segment FG is a secant of the given circle.
The line segment DB is a tangent of the given circle.
The line segment DH is a secant of the given circle, if DH!= DC, else it is tangent.
The line segment AC is a radius line of the given circle.

What do we know?

The line segment AC goes from center A to C
The line segment GF goes from one point G on circle to other side of the circle at point F on the circle.
The line segment HE goes from one side of the circle to the other side.
The line segment BD intersects the circle at point C and remains outside of the circle.

What is a tangent?

A tangent is a line which only touches the circle (ie intersects at one point) and is straight line and lies outwards of the circle.

What is a secant?

A secant is a straight line which intersects the circle at two points, unlike tangent which only intersects at one point of the circle.

Using above definitions to identify the parts of circle

Since line segment FG intersects circle at point F and G two points, thus, it is a secant.
Since the line segment BD lies outside and intersects the circle at C thus its a tangent.
The Line segment DH is a secant as if DH != DC else it will also be a tangent.
The line segment AC lies inside of the circle and goes from center to the circumference, thus its a radius line segment of that circle.

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