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: Recall collinear - point definition

Collinear points lie on the same straight - line.

Step2: Analyze each statement

• For "Points K, M, and N are collinear": From the diagram, K, M, N do not lie on the same line.
• For "Points J, K, and Q are collinear": J, K, Q do not lie on the same line.
• For "Point R is the intersection of line KN and line MQ": From the diagram, line KN and line MQ do not intersect at R.
• For "Lines JQ, KM, and MQ all intersect at point K": Lines JQ and MQ do not intersect at K.
• For "There is only one line that can be drawn through points L and P": According to the postulate, through any two distinct points, there is exactly one line.

Answer:

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