Q: What is a line segement with both end points on the circle is?

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This is a line segment called a diameter of the 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.)

There are an infinity of points 4cm from a given line. These points form 2 lines parallel to and either side of the original line. Equally, there are an infinite number of points 4cm from a given point on the original line. These points lie on the circumference of a circle radius 4cm with its centre at the given point. There are only 2 points that fulfil both conditions. These points are found on the circumference of the circle where a diameter perpendicular to the original line and passing through the given point meets the circumference of the circle. These two points are also where the two parallel lines form tangents with the circle.

Segement

Step I: Show that both points are outside the smaller circles. Possibly by showing that distance from each point to the centre of the circle is greater than its radius. Step 2: Show that the line between the two points touches the circle at exactly one point. This would be by simultaneous solution of the equations of the line and the circle.

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No, because then it would become many line segments.

a line is a straight, never ending line segement without two points at the end. For example: _________________________ . That is a line.

midpoint means the middle of a segment, there can't be two different point on a segment that are both in the middle. so no !!

This is a line segment called a diameter of the circle.

That's a diameter of the circle.

A line segement is a line that starts at one point and ends at another. It has two endpoints.

A straight line connecting two points on the circumference of 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.)

Just like line segments or lines, you just need two points to name them. Line ---.-----.-----------------.--------------> A B C D Line= AB Line= BC Ray= CD

A line segment drawn through the centre of a circle and having endpoints on the circumference of that circle is called the diameter. Notably, a line segement with one endpoint at the centre of the circle and one anywhere on the circumference of the circle is called the radius, and is exactly half the length of the diameter.

No, a circle can never pass through three points of a straight line. The circle will touch 1) no points of the line, 2) one point of the line (which is now tangent to the circle), or 3) two points of the line. A line can contain (at most) twopoints that lie on the line.

A straight line that intersects a circle or curve at two points, but which has both end points outside the circle or curve is called a secant. A straight line that links two points on a circle or curve is called a chord. A straight line which touches a circle or curve at one point is called a tangent. A straight line that cuts a circle or curve at one point is a straight line.* For moving diagrams see Related links below this box.