Which segment is a tangent segment to circle Q?
(Points : 1)
EP
EA
AP
BP
It's from K12 and it's a small quiz (homework)
We have no access to your diagram.
Its AP, took the same test
To determine which segment is a tangent segment to circle Q, we need to understand the concept of a tangent line in relation to a circle.
A tangent line is a line that intersects a circle at exactly one point, known as the point of tangency. It is important to note that a tangent line is always perpendicular to the radius of the circle at the point of tangency.
In the given options (EP, EA, AP, BP), we can examine each segment and visually determine if it is tangent to circle Q.
- EP: This segment does not intersect circle Q. It can be eliminated as a possibility for a tangent segment.
- EA: This segment intersects circle Q at two points (E and A). It is not a tangent segment since it does not intersect the circle at exactly one point.
- AP: This segment intersects circle Q at one point (A). It is a possible tangent segment since it intersects the circle at exactly one point. However, to confirm if it is a tangent segment, we need to further analyze the line from A to the center of circle Q.
- BP: This segment intersects circle Q at two points (B and P). It is not a tangent segment since it does not intersect the circle at exactly one point.
Analyzing option AP further, if the line from point A to the center of circle Q (O) is perpendicular to AP, then AP is a tangent segment. If it is not perpendicular, then AP is not a tangent segment.
To get a definitive answer, we would need additional information such as the location of the center of circle Q and the coordinates of points A, E, and P.
Please keep in mind that without the specific details of the geometry problem, it is not possible to determine the exact solution. It would be best to review your textbook or consult your teacher for further assistance.