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:

Step1: Check collinearity of points

Collinear points lie on the same straight - line. From the diagram, points K, M, and N do not lie on the same line. Points J, K, and Q do not lie on the same line.

Step2: Check intersection of lines

Point R is not the intersection of line KN and line MQ. Lines JQ, KM, and MQ do not all intersect at point K.

Step3: Recall the line - drawing property

According to the postulate, through any two distinct points, there is exactly one line. Points L and P are two distinct points, so there is only one line that can be drawn through them.

Answer:

There is only one line that can be drawn through points L and P.