All rhombuses are squares. State whether the statement is true or false.
Solution:
Given, All rhombuses are squares
We have to determine if the given statement is true or false.
A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides.
A rhombus has all four sides equal just like a square. That is why it is also known as a tilted square.
A square is a two-dimensional plane figure with four equal sides.
There are only two diagonals of the square and they bisect each other at right angles.
In a rhombus each angle is not equal to 90 degrees.
Therefore, all rhombuses are not squares.
✦ Try This: All rhombuses are kites. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 96
All rhombuses are squares. State whether the statement is true or false.
Summary:
The given statement, ”All rhombuses are squares” is false.
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