True
A tangent of a circle is not a secant of a circle, so the answer is false. A tangent of a circle is a line that intersects the curve of the circle at exactly one point on the curve. It could be said to "touch" the circle at one unique location. Obviously there are an infinite number of lines that can be drawn to do this. A secant of a circle is a line that touches the curve of the circle at exactly two unique points on the curve. It might be considered "similar" to the chord of a circle, which is a line segment with endpoints at two unique locations on the curve of a circle. Except that the secant of a circle is a line and not a line segment. Any chord of a circle that is overlaid with a line, which is like saying that we "extend" the line segment that is the chord of the circle on each end, and do so all the way to infinity, we'll have the secant of a circle. Let's take things one step further. If a circle and a line are coplanar (lie in the same plane), one of three things will be true. Either they will have no (zero) points of intersection, or they'll have one point of intersection, or they'll have two points of intersection. There are no other possibilities. Think this through and it will make complete sense. A lot of geometry will "work like this" when we study it and think it through. Use the links below to check out the idea of a tangent and a secant of a circle.
It is a FALSE statement.
False
It is true. The circumference of a circle is the distance around the circle.
false
True
A tangent of a circle is not a secant of a circle, so the answer is false. A tangent of a circle is a line that intersects the curve of the circle at exactly one point on the curve. It could be said to "touch" the circle at one unique location. Obviously there are an infinite number of lines that can be drawn to do this. A secant of a circle is a line that touches the curve of the circle at exactly two unique points on the curve. It might be considered "similar" to the chord of a circle, which is a line segment with endpoints at two unique locations on the curve of a circle. Except that the secant of a circle is a line and not a line segment. Any chord of a circle that is overlaid with a line, which is like saying that we "extend" the line segment that is the chord of the circle on each end, and do so all the way to infinity, we'll have the secant of a circle. Let's take things one step further. If a circle and a line are coplanar (lie in the same plane), one of three things will be true. Either they will have no (zero) points of intersection, or they'll have one point of intersection, or they'll have two points of intersection. There are no other possibilities. Think this through and it will make complete sense. A lot of geometry will "work like this" when we study it and think it through. Use the links below to check out the idea of a tangent and a secant of a circle.
It is a FALSE statement.
false
False
It is true that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle. When a tangent line intersects a chord of a circle, it creates an angle between the tangent line and the chord, known as the tangent-chord angle. If we draw a segment from the center of the circle to the midpoint of the chord, it will bisect the chord, and the tangent-chord angle will be formed by two smaller angles, one at each end of this segment. Now, the intercepted arc inside the tangent-chord angle is the arc that lies between the endpoints of the chord and is inside the angle. The measure of this arc is half the measure of the central angle that subtends the same arc, which is equal to the measure of the angle formed by the two smaller angles at the ends of the segment that bisects the chord. Therefore, we can conclude that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.
yes
False
false
False
False.
The distance from one side of a circle to the other going through the center is called the Diameter, the distance from any side to the center (half the diameter) is called the radius.