Question

The diagram shows several points and lines.

4 intersecting lines are shown. A horizontal line contains points K, N, R. A vertical line contains points M, N, Q. Another line intersects the lines at points K and M. Another line has points J, K, and Q. Points L and P are not on the lines.

Which statements are true based on the diagram? Select two options.

Points K, M, and N are collinear.
Points J, K, and Q are collinear.
Point R is the intersection of line KN and line MQ.
Lines JQ, KM, and MQ all intersect at point K.
There is only one line that can be drawn through points L and P.

Answer 1

True statements:
- Points J, K, and Q are collinear. (Given: a line has J, K, and Q.)
- There is only one line that can be drawn through points L and P. (Through any two distinct points there is exactly one line.)

The other statements are false (K, M, N are not on one line; R is not the intersection of KN and MQ; MQ does not pass through K).