Page 2 - 2
P. 2
Example: RENT is a rectangle. Its diagonals meet at O. Find x, if OR = 2x +
4 and OT = 3x + 1.
Solution: OT is half of the diagonal TE, OR is half of the diagonal RN.
Diagonals are equal here. So, their halves are also equal.
Therefore 3x + 1 = 2x + 4
or x = 3
Square: A square is a rectangle with equal sides.
Properties of Square:
All sides are equal.
All angles are right angle.
The diagonals
(i) bisect one another (square being a parallelogram)
(ii) are of equal length (square being a rectangle) and
(iii) are perpendicular to one another.
2