Question

Select the statement that can be written as a TRUE biconditional. If two angles are adjacent, then they form a linear pair. If a number is divisible by 2, then it is divisible by 4. If three points are collinear, then they lie on the same line. If B is between A and C, then AB = BC.

Answer 1

Please refer to the attached figure.

Here, x and y are adjacent angles. However, they do not form a linear pair as the sum x + y < 180 degrees.

So, the first statement is FALSE.

Consider the number 6. It is divisible by 2 but it is not divisible by 4.

So, the second statement is FALSE

Three points are said to be collinear, if they lie on the same line.

So, the third statement is TRUE.

Please refer to the second figure attached.

Here, AB = 2 cm and BC = 7 cm.

So, however B is between A and C, AB ≠ BC.

So, the fourth statement is FALSE.