Home
Class 6
MATHS
Give reasons for the following : A squ...

Give reasons for the following :
A square can be thought of as a special rhombus.

Text Solution

AI Generated Solution

The correct Answer is:
To explain why a square can be thought of as a special rhombus, we can follow these steps: ### Step-by-Step Solution: 1. **Definition of a Rhombus**: - A rhombus is a quadrilateral (four-sided figure) where all sides are of equal length. Additionally, opposite angles are equal, and the diagonals bisect each other at right angles. 2. **Definition of a Square**: - A square is also a quadrilateral where all sides are of equal length. However, in addition to this, all angles in a square are right angles (90 degrees), and the diagonals are equal in length. 3. **Comparison of Properties**: - Both squares and rhombuses have all sides equal. This is a key property that they share. - The difference lies in the angles and the diagonals. In a square, all angles are right angles, and the diagonals are equal in length. In a rhombus, the angles are not necessarily right angles, and the diagonals are not equal. 4. **Conclusion**: - Since a square meets all the criteria of a rhombus (equal sides), but also has the additional properties of equal diagonals and right angles, we can conclude that a square is a special type of rhombus. ### Final Statement: Thus, we can say that a square can be thought of as a special rhombus because it possesses all the properties of a rhombus with the added condition of having equal diagonals and right angles. ---
Promotional Banner

Topper's Solved these Questions

  • UNDERSTANDING ELEMENTARY SHAPES

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 5.8) |4 Videos
  • UNDERSTANDING ELEMENTARY SHAPES

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 5.9) |6 Videos
  • UNDERSTANDING ELEMENTARY SHAPES

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 5.6) |7 Videos
  • SYMMETRY

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|13 Videos
  • WHOLE NUMBERS

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER (FILL IN THE BLANKS)|5 Videos

Similar Questions

Explore conceptually related problems

Give reasons for the following : (a) A square can be thought of as a special rectangle.(b) A rectangle can be thought of as a special parallelogram.(c) A square can be thought of as a special rhombus.(d) Squares,rectangles, parallelograms are all quadrilaterals.(e) Square is also a parallelogram.

Give reasons for the following: (a) A square can be thought of as a special rectangle. (b) A square can be thought of as a special rhombus. ( c) A rectangle can be thought of as a special parallelogram. (d) A square is also a parallelogram.

Give reason for the following: Hydrogen can be used as a fuel.

A square and a rhombus are always   :