If the diagonals of a quadrilateral PQRS bisect each other, then the quadrilateral PQRS must be a
(a) parallelogram
(b) rhombus
(c) rectangle
(d) square
Solution:
Diagonals of a quadrilateral PQRS bisect each other, then quadrilateral must be a parallelogram.
(∵ A rhombus, rectangle and square are also parallelogram) (a)
If the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a
(a) parallelogram
(b) rectangle
(c) rhombus
(d) square
Solution:
Diagonals of quadrilateral PQRS bisect each other at right angles, then quadrilateral PQRS [ must be a rhombus.
(∵ Square is also a rhombus with each angle equal to 90°) (c)
More Solutions:
- Show that DAC=BCA
- Prove that the quadrilateral
- Find the size of each lettered angle in the Following Figures.
- Lettered angle in the following figures :
- If ∠ABC = 56°, find
- Find the lengths of its diagonals.
- Prove that ∠AEB is a right angle.
- Prove that the line segment
- Prove that the diagonals of a parallelogram.
- AD is median of ∆ABC and P.