NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.7

Exercise 5.7

1. State true or false.

a. Each angle of a rectangle is a right angle.

Ans:  A rectangle is a quadrilateral with equal opposite sides. The given statement is true because the adjacent sides of the rectangle are perpendicular to each other.

b. The opposite sides of a rectangle are equal in length.

Ans: A parallelogram is a quadrilateral with parallel and equal opposite sides. A rectangle is a specific type of parallelogram because the rectangle also has an equal length of opposite sides. Hence, the given statement is true.

c. The diagonals of a square are perpendicular to one another.

Ans:  A square is a quadrilateral with equal sides. The given statement is true because diagonals of a square bisect each other at $90^\circ $.

d. All the sides of a rhombus are of equal length.

Ans:  A rhombus is a special case of squares because a rhombus has equal sides and all angles equal to $90^\circ $. The given statement is true because rhombus is a special square. 

e. All the sides of a parallelogram are of equal length.

Ans: The given statement is false because only the opposite sides of a parallelogram are equal and parallel.

f. The opposite sides of a trapezium are parallel.

Ans:  A trapezium is a quadrilateral with one pair of opposite sides equal and parallel. Hence, the given statement is false.

2. Give reasons for the following.

a. A square can be thought of as a special rectangle.

Ans:  A square is considered as a special rectangle because its all angles are right angles and opposite sides are equal.

b. A rectangle can be thought of as a special parallelogram.

Ans:  A rectangle is considered as a special parallelogram because its opposite sides are equal and parallel.

c. A square can be thought of as a special rhombus.

Ans:  A square is considered as a special rhombus because its four sides are equal and diagonals are perpendicular to one another.

d. Squares, rectangles, parallelograms are all quadrilateral.

Ans:  A polygon with four sides is called a quadrilateral. Here, observe that square, rectangle and parallelogram all are four-sided polygons. Hence, they are quadrilaterals.

e. Square is also a parallelogram.

Ans:  We know that the opposite sides of a parallelogram are equal and parallel.  Similarly, the opposite sides of the square are equal and parallel. Hence, square is also a 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?

Ans:  A square has sides of equal length and angles of equal measure. Also, the square is a quadrilateral. So, we can say that the regular quadrilateral described in the question is a square.

NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.7

Opting for the NCERT solutions for Ex 5.7 Class 6 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 5.7 Class 6 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 6 students who are thorough with all the concepts from the Subject Understanding Elementary Shapes textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 6 Maths Chapter 5 Exercise 5.7 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 6 Maths Chapter 5 Exercise 5.7, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it.

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