Alex plots 4 points K, L, M, and N. He joins points K and L and points M and N with straight lines as shown.




Alex made the following statements about the points.

Statement 1: and intersect on the same plane.
Statement 2: and intersect at point P.

Which chart best justifies Alex’s statements?

sorry - no diagrams here. Better explain the figure.

Oh, yeah: make sure your questions are complete. Sheesh.

To determine which chart best justifies Alex's statements, we need to analyze the given statements and the points provided. Let's go step by step.

Statement 1: KL and MN intersect on the same plane.
This statement suggests that the lines KL and MN intersect in a common plane. To determine if this is true, we need to check whether the lines KL and MN lie in the same plane or not.

To analyze this, we can draw a 3D coordinate system and plot the given points K, L, M, and N on it. Look for any patterns or clues that indicate whether or not the lines KL and MN lie on the same plane. Consider the position and arrangement of the points in the coordinate system.

Statement 2: KL and MN intersect at point P.
This statement implies that the lines KL and MN intersect at a specific point named P. To justify this statement, we need to determine if there is indeed a point of intersection between the lines KL and MN. This can be done by analyzing the position and arrangement of the points K, L, M, and N.

We can draw the lines KL and MN on the same 2D coordinate plane and look for any points where the lines intersect. By connecting the points K and L with a line segment KL and the points M and N with a line segment MN, we can visually see if there is a point of intersection.

Once we have drawn the points and the lines in a suitable coordinate system, we can choose the chart that best represents the situation. The chart that correctly shows the intersection of the lines KL and MN in the same plane, as well as the intersection point P, would be the one that justifies both of Alex's statements.

Without the visual representation or additional information regarding the position of the points, it is not possible to determine which specific chart would best justify the statements.