Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
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.
To do:
We have to give reasons for the given statements.
Solution:
(a) A rectangle is a quadrilateral in which the opposite sides are parallel and equal to each other and all four angles are right angles.
A square is a quadrilateral in which all the sides are equal and all four angles are right angles.
Therefore,
A square can be thought of as a special rectangle.
(b) A parallelogram is a quadrilateral in which the opposite sides are parallel and equal.
A rectangle is a quadrilateral in which the opposite sides are parallel and equal to each other and all four angles are right angles.
Therefore,
A rectangle can be thought of as a special parallelogram.
(c) A rhombus is a quadrilateral that has all four sides equal and opposite sides parallel.
A square is a quadrilateral in which all the sides are equal and all four angles are right angles.
Therefore,
A square can be thought of as a special rhombus.
(d) A polygon with four sides and four vertices is called a quadrilateral.
A rectangle is a quadrilateral in which the opposite sides are parallel and equal to each other and all four angles are right angles.
A square is a quadrilateral in which all the sides are equal and all four angles are right angles.
A parallelogram is a quadrilateral in which the opposite sides are parallel and equal.
Therefore,
Squares, rectangles, parallelograms are all quadrilaterals.
(e) A parallelogram is a quadrilateral in which the opposite sides are parallel and equal.
A square is a quadrilateral in which all the sides are equal and all four angles are right angles.
Therefore,
Square is also a parallelogram.
76 Views
