Okay heres the pic. There is a plane with points B,D, and E.those [oints are collinear in the plane. And also outside of the plane is points A, and C. and those points are collinear outside of the plane.thought Line AC intersect at point B of the line BDE.FOr line AC the C is somewhat disatached from A with a breakeage in between leaving a ray of C as well/

Question: Name 4 Coplanar Points
with this same picture
Question: How many planes contain the given point and line?
a. line DB and Point A
b. line BD and point E
c. line AC and point D
d. line EB and point C

you just have to tell the number please help and thanks

To find the answer to the first question, you need to identify four points that lie on the same plane. Looking at the given picture, we can see that points B, D, and E are collinear, meaning they lie on the same line. Given that these three points are on the same line, we can conclude that they are also coplanar.

Now, to find the fourth coplanar point, we need to examine points A and C. From the information provided, we know that points A and C are also collinear, but they are located outside of the plane containing points B, D, and E. However, we are told that there is a "breakage" between points A and C, leaving a ray or a portion of line C detached from point A. Since this ray is still part of line AC, we can consider point C as the fourth coplanar point along with points B, D, and E.

Therefore, the four coplanar points in this picture are B, D, E, and C.

For the second question, we need to determine how many planes contain a given point and line. Let's analyze each option:

a. line DB and Point A: In this case, point A lies outside the plane containing line DB. Therefore, no planes contain both line DB and point A.

b. line BD and point E: Similarly, point E lies outside the plane containing line BD. So, no planes contain both line BD and point E.

c. line AC and point D: Here, point D lies on line AC, which means it lies on the same plane as line AC. Therefore, only one plane contains line AC and point D.

d. line EB and point C: In this case, point C lies on line EB, which means it lies on the same plane as line EB. So, only one plane contains line EB and point C.

To summarize, out of the given options, only line AC and point D lie on the same plane, resulting in one plane containing both the line and the point.