Question

if possible, use the law of detachment to make a conclusion. if it is not possible to make a conclusion, tell why. if three points are on the same plane, then they are coplanar. points d, f, and g are on plane p. choose the correct answer below. a. the conclusion is the points d, f, and g form a triangle. b. it is not possible to make a conclusion using the law of detachment because the second statement does not match the conclusion of the given conditional statement. c. the conclusion is the points d, f, and g are coplanar. d. no conclusion is possible because the hypothesis given is not the same as the hypothesis of the given conditional statement.

Explanation:

The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then its conclusion is true. Here, the hypothesis of the conditional statement is "three points are on the same plane" and the conclusion is "they are coplanar". Given points D, F, and G are on plane p (satisfying the hypothesis), so they are coplanar.

Answer:

C. The conclusion is the points D, F, and G are coplanar.