Kelly drew four points A, B, C, and D in her notebook.

A straight line joins points A and C. Another straight line joins A and B. A point D is located on the left of the line AB

Kelly made the following statements about the points.

Statement 1: There is at least one more point on the plane containing points B and C.
Statement 2: One plane contains segment AC and Point D.

Which chart best justifies Kelly's statements?

things are ambiguous.

what does "on the left" of line AB mean?
Is AB basically horizontal, and D in on AB toward the left? Or is AB basically vertical and D is not on the line at all, but left of it?

#1. how does a point contain B and C?

#2. true, since 3 points define a plane.

what chart?

a little proofreading would help.

To determine which chart best justifies Kelly's statements, let's analyze the given information step by step.

First, we know that Kelly drew four points: A, B, C, and D.

Statement 1: There is at least one more point on the plane containing points B and C.

To justify this statement, we need to show that there is at least one more point on the plane containing points B and C. We can visualize this as follows:

- Draw points B and C on a two-dimensional plane.
- Draw a straight line connecting points B and C.
- To justify the statement, we need to show that there is at least one more point on that same plane.

In the chart, we can draw additional points on that plane, such as E, F, G, etc., located anywhere on the plane containing points B and C.

So, the chart that best justifies Statement 1 is a chart showing points B, C, and additional points on the plane containing B and C.

Statement 2: One plane contains segment AC and Point D.

To justify this statement, we need to show that segment AC and point D are all located on the same plane. We can visualize this as follows:

- Draw points A, C, and D on a two-dimensional plane.
- Draw a straight line connecting points A and C.
- To justify the statement, we need to show that point D is located on the same plane containing segment AC.

In the chart, we can draw point D on the same plane as segment AC, either on or below the line formed by the segment.

So, the best chart to justify Statement 2 is a chart showing points A, C, and D located on the same plane.

Therefore, the chart that best justifies Kelly's statements is a chart that shows points A, B, C, and D, with additional points on the plane containing points B and C, while also showing point D on the same plane as segment AC.