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 line, then they are collinear. points x, y, and z are on line k. choose the correct answer below: a. the conclusion is the points x, y, and z are collinear. b. the conclusion is the points x, y, and z are coplanar. c. 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. d. no conclusion is possible because the hypothesis given is not the same as the hypothesis of the given conditional statement.

Explanation:

Step1: Identify the conditional statement

The conditional statement is "If three points are on the same line, then they are collinear".

Step2: Check the given information

The given information is that points X, Y, and Z are on line k, which means they are on the same line (satisfies the hypothesis).

Step3: Apply the Law of Detachment

Since the hypothesis of the conditional statement is met, we can conclude that the points are collinear.

Answer:

A. The conclusion is the points X, Y, and Z are collinear.