Let be a parallelogram whose diagonals and meet at the point .

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

Let

ABCD

be a parallelogram whose diagonals

AC

and

BD

meet at the point

O

. (i) Define the term "diagonal" of a quadrilateral. (ii) Show that

OA = OC

and

OB = OD

. (iii) Hence explain what can be concluded about the point

O

with respect to each diagonal.