which if the following statements is false?
a. The points of a circle are coplanar
b. Concentric circles intersect in exactally one point
c. In are AB C Denotes that an arc of the circle has endpoints A and C and that passes through B
d. If a line and a circle are coplanar and the line intersects the circle at exactally one point the libe is called a tangent line
i think its b
To determine which of the statements is false, let's analyze each one:
a. The points of a circle are coplanar: This statement is true. In Euclidean geometry, a circle is a planar figure, and all its points lie in the same plane.
b. Concentric circles intersect in exactly one point: This statement is false. Concentric circles have the same center but different radii, and therefore they do not intersect each other.
c. In arc ABC, A and C denote the endpoints of the arc, and B is a point on the arc: This statement is true. In arc notation, the letters denote the endpoints of the arc, and the letter in between indicates a point on the arc.
d. If a line and a circle are coplanar, and the line intersects the circle at exactly one point, the line is called a tangent line: This statement is true. In geometry, a tangent line is defined as a line that intersects a curve (in this case, a circle) at exactly one point, without crossing it.
Therefore, the false statement among the given options is b. Concentric circles do not intersect each other.