Well-designed AP 6th Class Maths Textbook Solutions Chapter 5 Understanding Elementary Shapes Exercise 5.7 offers step-by-step explanations to help students understand problem-solving strategies.
Understanding Elementary Shapes Class 6 Exercise 5.7 Solutions – 6th Class Maths 5.7 Exercise Solutions
Question 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.
Solution:
a) True
b) True
c) True
d) True
e) False
f) False.
Question 2.
Give reasons for the following :
a) A square can be thought of as a special rectangle.
Solution:
A square has all the properties as that of rectangle. So, it is a special rectangle. [In square, (i) opposite sides are equal, (ii) Each angle is 90°, (iii) Diagonals are equal]
b) A rectangle can be thought of as a special parallelogram.
Solution:
A rectangle has the same properties as that of parallelogram. So, it is a special parallelogram.;
[In rectangle (i) Pair of opposite sides are parallel]
c) A square can be thought of as a special rhombus.
Solution:
A square has the same properties as that of rhombus. So, it is a special rhombus.
[In square (i) All the four sides are equal]
d) Squares, rectangles, parallelograms are all quadrilaterals.
Solution:
Squares, rectangles and parallelograms are all quadrilateral as they are all enclosed by four sides.
e) Square is also a parallelogram.
Solution:
Square has the same properties as that of parallelogram. So, square is also a parallelogram.
[In square (i) Pair of opposite sides are parallel].
Question 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 ?
Solution:
In square, all the four sides and all the four angles are equal.
Therefore; square is a regular quadrilateral.