Consider the following statement:"If the diagonals of a quadrilateral

1.	Consider the following statement:"If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram."This statement is a/an1. definition2. theorem3. axiom4. proposition
Answer» Correct Answer - Option 2 : theorem If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. This statement is a theorem. Theorem is said to be proposition that is not self-evident but that can be proved from accepted premises and so is established as a law or principle. There are many properties of a parallelogram. We draw a parallelogram and draw both its diagonals intersecting at the point. Measure the lengths of these lines. We observe that the mid-point of the diagonals. Repeat this activity with some more parallelograms. Each time we will find that the mid-point of both the diagonal. We can use the previous concept like length, mid-points etc. Hence we can prove this theorem by accepted premises.

Consider the following statement:"If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram."This statement is a/an1. definition2. theorem3. axiom4. proposition

Answer» Correct Answer - Option 2 : theorem

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. This statement is a theorem.
Theorem is said to be proposition that is not self-evident but that can be proved from accepted premises and so is established as a law or principle.
There are many properties of a parallelogram. We draw a parallelogram and draw both its diagonals intersecting at the point. Measure the lengths of these lines. We observe that the mid-point of the diagonals. Repeat this activity with some more parallelograms.
Each time we will find that the mid-point of both the diagonal. We can use the previous concept like length, mid-points etc. Hence we can prove this theorem by accepted premises.