Question

Which statements are true? Check all that apply.

KJ is a chord.
F is point of tangency for FE.
MH is a secant segment.
GN is a secant segment.
C is a point of tangency for DC.

Answer 1

I can’t tell which are true without the diagram or a clear description of where the points/lines are. Please upload the figure or describe which points lie on the circle(s) and which lines/segments are drawn.

To help you check yourself, here are short definitions and how to test each statement:

- Chord: a segment whose endpoints are both on the same circle. So “KJ is a chord” is true only if K and J are both points on that circle and KJ is the segment joining them.

- Point of tangency: if a line touches a circle at exactly one point, that point is the point of tangency. So “F is point of tangency for FE” is true only if FE is tangent to the circle and F lies on the circle (and FE meets the circle only at F).

- Secant (line) / secant segment:
- A secant line intersects the circle in two points.
- A secant segment usually refers to the portion of that line between the two intersection points (or, in “external secant” contexts, the part from an external point to the nearer intersection). “MH is a secant segment” is true only if the line MH intersects the circle in two points and MH refers to the portion between those intersections (or is the external piece, depending on context).
- Same test for “GN is a secant segment.”

- “C is a point of tangency for DC” is true only if DC is a tangent line to the circle and C is the single point where DC touches the circle.

If you post the picture or describe which points lie on the circle and which lines touch or cross it, I’ll mark each statement true/false.