A line that intersects a circle at two distinct points is called a ___ of the circle.

Secant

What is the point called where a tangent touches a circle?

Point of contact

True or False: A tangent to a circle intersects the circle at two points.

False. A tangent intersects the circle at only one point.

Fill in the blank: The tangent at any point of a circle is ___ to the radius through the point of contact.

Perpendicular

Fill in the blank: A tangent can be considered a special case of a secant when the two end points of the corresponding ___ coincide.

Chord

What is the relationship between the lengths of tangents drawn from an external point to a circle?

The lengths of tangents drawn from an external point to a circle are equal.

A tangent to a circle can be drawn from a point lying ___ the circle.

Inside

True or False: There can be more than one tangent at any point on a circle.

False. There can be one and only one tangent at any point on the circle.

Fill in the blank: A common tangent is called a direct common tangent if both circles lie on the ___ side of it.

Same

How many tangents can be drawn from a point outside a circle?

Exactly two tangents can be drawn from a point outside the circle.

If two chords of a circle intersect at point P, what is the relationship between the segments of the chords?

The products of the lengths of the segments of the chords are equal, meaning if segments are PA, PB, PC, and PD, then PA x PB = PC x PD.

True or False: The lengths of the two transverse common tangents drawn to two circles are unequal.

False. The two transverse common tangents are equal in length.