Question

in exercises 3–6, use the diagram.
diagram of two planes, s (top) and t (bottom), with points a, b, c on plane s (b, c on a line, a on the edge), and d, e on plane t (d, e on a line), and arrows indicating lines

1. name four points.
2. name two lines.
3. name the plane that contains points a, b, and c.
4. name the plane that contains points a, d, and e.

Explanation:

Question 3

From the diagram, we can identify points by their labels. Common points visible are A, B, C, D (or other combinations like A, B, C, E or A, D, E, B etc., but a simple valid set is A, B, C, D).

Lines are defined by points on them. Looking at the diagram, one line has points B, C and the other has D, E (or considering the lines with arrows). So we can name line BC (or the line with B and C) and line DE (or the line with D and E), or using the other points like line AB (but more accurately, the line containing B and C, and the line containing D and E).

The plane containing points A, B, and C is the upper plane labeled S (or we can name it by three non - collinear points A, B, C, and the plane is the one that appears as the vertical - like upper plane in the diagram, which is labeled S).

Answer:

A, B, C, D (other valid combinations like A, B, C, E or A, D, E, B are also acceptable as long as they are points from the diagram)

Question 4