Question

the diagram shows several points and lines. which statements are true based on the diagram? choose two correct answers. lines jq, km, and mq all intersect at point k. points j, k, and q are collinear. points k, m, and n are collinear. there is only one line that can be drawn through points l and p

Explanation:

Step1: Check line - intersection statement

Lines JQ, KM, and MQ do not all intersect at point K. Line JQ and KM intersect at K, but MQ does not intersect them at K.

Step2: Check collinearity of J, K, Q

Points J, K, and Q lie on the same straight - line JQ, so they are collinear.

Step3: Check collinearity of K, M, N

Points K, M, and N do not lie on the same straight - line.

Step4: Check line through L and P

There is exactly one line that can be drawn through two distinct points L and P according to the postulate that through any two distinct points, there is exactly one line.

Answer:

Points J, K, and Q are collinear.
There is only one line that can be drawn through points L and P.