NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.7 are provided here to help the students in their exam preparation. A quadrilateral is a four-sided polygon. Rectangle, square, parallelogram, rhombus and trapezium are the types of quadrilaterals which are covered in this exercise. The concepts are explained by the faculty in the best possible way to help students perform effectively in the exam. These NCERT Solutions Class 6 Maths are based on the prescribed syllabus and guidelines of CBSE.
NCERT Solutions for Class 6 Chapter 5 Understanding Elementary Shapes Exercise 5.7
Access NCERT Solutions for Class 6 Chapter 5: Understanding Elementary Shapes Exercise 5.7
1. Say True or False:
(a) Each angle of a rectangle is a right angle.
(b) The opposite sides of a rectangle are equal in length.
(c) The diagonals of a square are perpendicular to one another.
(d) All the sides of a rhombus are of equal length.
(e) All the sides of a parallelogram are of equal length.
(f) The opposite sides of a trapezium are parallel.
Solutions:
(a) True, each angle of a rectangle is a right angle
(b) True, the opposite sides of a rectangle are equal in length.
(c) True, the diagonals of a square are perpendicular to one another
(d) True, all the sides of a rhombus are of equal length
(e) False, all the sides of a parallelogram are not equal
(f) False, the opposite sides of a trapezium are not parallel
2. 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.
Solutions:
(a) A rectangle in which all the interior angles are of the same measure, i.e., 900 and only opposite sides of the rectangle are of the same length, whereas in a square, all the interior angles are 900, and all the sides of the square are of the same length. Hence, a rectangle with all sides equal becomes a square. Therefore, a square is a special rectangle.
(b) In a parallelogram, opposite sides are parallel and equal. In a rectangle, opposite sides are parallel and equal. The interior angles of the rectangle are of the same measure, i.e., 900. Hence, a parallelogram with each angle as a right angle becomes a square. Therefore, a rectangle is a special parallelogram.
(c) All sides of a rhombus and square are equal, but in the case of a square, all interior angles are 900. A rhombus in which each angle is a right angle becomes a square. Therefore, a square is a special rhombus.
(d) Since, all are closed figures with 4 line segments. Hence, all are quadrilaterals.
(e) Opposite sides of a parallelogram are equal and parallel, whereas in a square, opposite sides are parallel, and all 4 sides are of the same length. Therefore, a square is a special parallelogram.
3. A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?
Solutions:
A square is a regular quadrilateral because all the interior angles are 900, and all sides are of the same length.
Also, explore –
NCERT Solutions for Class 6 Maths Chapter 5
IT IS VERY USEFULL AND AMAZING 😍👍😊😊👌👌
YOU ARE THE BEST LEARNING APP
Thank u byjus for ur amazing learnings😃💗☺️
Thanks byjus
Very amazing answers