Celestina constructed a circle with center C and radius DC . She then constructed chord AB to be perpendicular to radius DC at point E . She measured segment AE to be 8 inches. Identify the length of segment BE . (1 point) Responses Segment BE is 8 inches. Segment upper B upper E is 8 inches. Segment BE is 32 inches. Segment upper B upper E is 32 inches. Segment BE is 16 inches. Segment upper B upper E is 16 inches. Segment BE is 4 inches.

1 answer

Since chord AB is perpendicular to the radius DC at point E, point E is the midpoint of the chord AB. Given that AE is 8 inches, by symmetry, BE must be equal to AE.

Thus, the length of segment BE is also 8 inches.

The correct response is: Segment BE is 8 inches.