Question

here is a circle with center h and some line segments and curves joining points on the circle. identify examples of the following. explain your reasoning. a. diameter b. radius

Explanation:

a. Diameter

A diameter is a straight line segment that passes through the center of the circle and has its endpoints on the circle. In the given circle with center \( H \), \( DE \) is a diameter. This is because it passes through the center \( H \) and has both endpoints \( D \) and \( E \) on the circle.

b. Radius

A radius is a straight line segment from the center of the circle to a point on the circle. In the given circle, \( HA \) is a radius. Since \( H \) is the center and \( A \) is a point on the circle, the segment \( HA \) fits the definition of a radius. Other examples of radii could be \( HB\), \( HC\), \( HD\), \( HE\), \( HG\) etc. as they all connect the center \( H \) to a point on the circle.

Answer:

a. \( DE \) (because it passes through the center \( H \) and has endpoints on the circle).
b. \( HA \) (because it connects the center \( H \) to a point \( A \) on the circle).