Question

in the context of a circle, what does the external point refer to?
a point outside the circle
a point on the tangent line
the center of the circle
a point on the circle
the point where a tangent line touches a circle is called the:
point of tangency
diameter
radius
center
which statement is true about the angles formed at the point of tangency?
they are always 45 degrees
they are right angles
they are always acute
they are supplementary
which of the following describes a chord?
a continuous portion of the circles circumference
a segment with both endpoints on the circle
a segment that is outside the circle
a segment that touches the circle at one point
what is the relationship between the radius and the tangent line at the point of tangency?
they are parallel
they are perpendicular
they are collinear
they are equal in length
how can a tangent to a circle be constructed using only a ruler and compass?
by drawing a circle inside the given circle
by tracing the circle with the ruler
by measuring the diameter accurately
by creating perpendicular lines from a radius at the point of tangency

Explanation:

Question 1:

An external point relative to a circle is defined as a point that lies outside the circle. A point on the tangent line could be on or outside, the center is inside, and a point on the circle is on the circumference, not external.

The point where a tangent touches a circle is specifically called the point of tangency. Diameter is a chord through the center, radius is from center to circumference, and center is the middle point, none are the tangent - touching point.

At the point of tangency, the radius to that point is perpendicular to the tangent line, so the angle between them (and thus the angle formed at the point of tangency involving the tangent and radius - related lines) is a right angle. They aren't always 45 degrees, acute (less than 90) or supplementary (sum to 180) in general for this angle.

Answer:

a. A point outside the circle

Question 2: