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Line intersecting a circle in two points?
A line can be tangent to a circle in which case it intersects it in one point, it can intersect it in two points, or no points at all. So the choices are 0,1 or 2.
How is that any line intersecting the interior of a given circle is a secant of that circle?
Any line that enters a circle (and is not a tangent) must cross its boundary twice; once to enter, once to exit. Since a secant is a line segment that joins two different points on a curve, such a line as above is a secant.
What is a straight line joining points on a circle?
A straight line joining points on a circle is called a "chord" of that circle. If the line happens to pass through the center of the circle, then it's a "diameter" of that circle. The question asked about "points" on a circle, so two points on the circumference of that circle are being considered. (No line can join more than two points of a circle.)
A line segment that connects any two points of a circle is called?
A chord is a line which connects two points which lie on a circle.
How to find the the circumcenter of a triangle?
The circumcenter of a triangle is the center of a circle who's radius touches all three of the triangle's vertices. The circumcenter can be found using the intersection of 2 or more perpendicular bisectors. A bisector is a line perpendicular from the mid point of a triangle's line segment.To find the circumcenter of a triangle, create two bisectors by following these steps:StepsWith a compass, draw a circle from the first point in the triangle larger then the triangle.Draw the same size circle from point two.Draw the same size circle from point three.Draw a line from the two intersecting points of circle one and two.Draw a line from the two intersecting points of circle two and three.The intersection of the lines from step 4 and 5 will define the circumcenter of the triangle.
