Which is a counterexample for the conditional statement shown? If three distinct points lie in a plane, then the points can form

Question

2 years ago

14

a triangle....

1 answer:

lina2011 [118] · Answer 1 · 2023-06-18T19:39:37+03:00

<h2>Answer:</h2>

We take the example of:

Three collinear points in a plane.

Then we may conclude that they will never form a triangle.

<h2>Step-by-step explanation:</h2>

We know that a conditional statement is given by:

If p then q

where p is the hypothesis of the statement and q is the conclusion of the statement.

Counter example for a conditional statement--

A counter example is an example that makes the general statement is false.

i.e. a example which fulfills the condition of the hypothesis but does not satisfy the conclusion of the given statement.

If three distinct points lie in a plane, then the points can form a triangle.

i.e. Hypothesis is: Three distinct point lie in a plane.

and conclusion is: The points form a triangle.

So we take a example as:

Three collinear points lie in a plane but they will never form a triangle.