Question

Which of the following statements is true and would show that the 4 points are the vertices if a parallelogram?

a) DA=AB=BC=CD=√17
b) AB=CD=√13; DA=BC=√17
c) DB=√18; AC=√38
d) M=3/2AB.AD

Answer 1

The statement that is true and would show that the 4 points are the vertices of a parallelogram is option (b) AB=CD=√13; DA=BC=√17.

Step-by-step explanation:

The statement that is true and would show that the 4 points are the vertices of a parallelogram is option (b) AB=CD=√13; DA=BC=√17.

To prove that the points form a parallelogram, we need to show that opposite sides are equal in length. In option (b), AB and CD are equal in length (√13), and DA and BC are equal in length (√17), which satisfies this condition.

Therefore, option (b) is the correct statement.