Question

the diagram shows several points and 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.

Explanation:

1. Points K, M, and N are collinear: Collinear points lie on the same straight line. K and M are on one line, K and N are on a different line, so this is false.
2. Points J, K, and Q are collinear: J, K, and Q all lie on the same straight line, so this is true.
3. Point R is the intersection of line KN and line MQ: Line KN intersects line MQ at point K, not R, so this is false.
4. Lines JQ, KM, and MQ all intersect at point K: Line JQ, line KM, and line MQ all meet at point K, so this is true.
5. There is only one line that can be drawn through points L and P: While only one straight line can connect two points, this is not demonstrated or verifiable from the given diagram, so this is not a valid true statement based on the diagram.

Answer:

B. Points J, K, and Q are collinear.
D. Lines JQ, KM, and MQ all intersect at point K.