Which statement best describes a radius of a circle?

a.) it is a line that touches two points on the circle.
b.) it is a segment from a point on the circle to the center of the circle.
c.) it is a line that intersects the circle at exactly two points on the diameter.
d.) it is a segment that connects two distinct points on the secant of the circle.

Radius is a segment from a point on the circle to the center of the circle.

B is correct.

Step-by-step explanation:

Radius of a circle is unique identification of any circle.

It start from centre and end at any point on circle.

It is a segment from a point on the circle to center of the circle.

Radius is half the length of diameter of circle.

Diameter is a line which start from one point on circle to end another point on circle but passes through the center of circle.

So, The segment of diameter is double the radius.

Hence, Radius is a segment from a point on the circle to the center of the circle.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.