English
Maharashtra State BoardSSC (English Medium) 9th Standard

State with reason whether the following statement is ‘true’ or ‘false’. Every parallelogram is a rhombus. - Geometry

Advertisements
Advertisements

Question

State with reason whether the following statement is ‘true’ or ‘false’.

Every parallelogram is a rhombus.

Options

  • True

  • False

MCQ
True or False
Advertisements

Solution

This statement is False.

Reason:

All the sides of a rhombus are congruent, while the opposite sides of a parallelogram are congruent.

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Quadrilaterals - Practice Set 5.3 [Page 69]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 5 Quadrilaterals
Practice Set 5.3 | Q 5. (i) | Page 69

RELATED QUESTIONS

The following figure is parallelogram. Find the degree values of the unknowns xyz.  


The following figure is parallelogram. Find the degree value of the unknown xyz


Can the following figure be parallelogram. Justify your answer. 


Can the following figure be parallelogram. Justify your answer.


In the following figure GUNS and RUNS are  parallelogram. Find x and y


Two opposite angles of a parallelogram are (3x − 2)° and (50 − x)°. Find the measure of each angle of the parallelogram. 


ABCD is a parallelogram in which ∠A = 70°. Compute ∠BC and D.


The sum of two opposite angles of a parallelogram is 130°. Find all the angles of the parallelogram.


Which of the following statement is true for a rhombus? 

 It has two pairs of parallel sides. 


Which of the following statement is true for a rhombus?

Its diagonals are equal and perpendicular.


Which of the following statement is true for a rhombus? 

 It is a square.


Draw a rhombus, having each side of length 3.5 cm and one of the angles as 40°.

 


One side of a rhombus is of length 4 cm and the length of an altitude is 3.2 cm. Draw the rhombus.


The diagonals of a quadrilateral are of lengths 6 cm and 8 cm. If the diagonals bisect each other at right angles, what is the length of each side of the quadrilateral?


Which of the following statement is true for a rectangle? 

Its diagonals are equal and bisect each other.


Diagonals of a parallelogram intersect each other at point O. If AO = 5, BO = 12 and AB = 13 then show that `square`ABCD is a rhombus. 


If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.


The given figure shows a rhombus ABCD in which angle BCD = 80°. Find angles x and y.


If a diagonal of a quadrilateral bisects both the angles, then it is a ______.


A rhombus is a parallelogram in which ______ sides are equal.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×