Question

Circle O is shown. Lines K J and M H are chords. Line G H is a chord. Line F E is a tangent that intersects the circle at point F.

Which statements are true? Check all that apply.
a. KJ is a chord.
b. F is point of tangency for FE.
c. MH is a secant segment.
d. GN is a secant segment.
e. C is a point of tangency for DC.

Answer 1

a. KJ is a chord: True. b. F is point of tangency for FE: True. c. MH is a secant segment: False. d. GN is a secant segment: False. e. C is a point of tangency for DC: False. Option A,B are correct.

Step-by-step explanation:

a. KJ is a chord: True. A chord is a line segment that connects two points on a circle. In this case, KJ is a line segment connecting points on the circle.

b. F is point of tangency for FE: True. A tangent is a line that intersects a circle at exactly one point, and that point is the point of tangency. In this case, point F intersects circle O at exactly one point, making it the point of tangency for line FE.

c. MH is a secant segment: False. A secant segment is a line segment that intersects a circle at two points. In this case, line MH intersects circle O at two points, making it a chord, not a secant segment.

d. GN is a secant segment: False. There is no mention of line GN in the given information, so it is not possible to determine if it is a secant segment or not.

e. C is a point of tangency for DC: False. There is no mention of line DC or a point C in the given information, so it is not possible to determine if C is a point of tangency or not.