Q1 of 56 Page 75

Diagonals AC and BD of a parallelogram ABCD intersect each other at O.

If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD.

Given: OA = 3 cm

OD = 2 cm



We know that,


Diagonals of parallelogram bisect each other.


∴ AC = 2AO


= 2 × 3 cm


= 6 cm


And,


BD = 2OD


= 2 × 2 cm


= 4 cm


Hence, AC = 6 cm and BD = 4cm


More from this chapter

All 56 →
13

Which of the following is not true for a parallelogram?

 14

D and E are the mid-points of the sides AB and AC respectively of DABC. DE is produced to F. To prove that CF is equal and parallel to DA, we need an additional information which is

 2

Diagonals of a parallelogram are perpendicular to each other. Is this statement true? Give reason for your answer.

 3

Can the angles 110°, 80°, 70° and 95° be the angles of a quadrilateral? Why or why not?