NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3

These NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3 Questions and Answers are prepared by our highly skilled subject experts.

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry

Exercise 14.3

Question 1.
Name any two figures that have both line symmetry and rotational symmetry.
Answer:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3 1

Question 2.
Draw, wherever possible, a rough sketch of
(i) a triangle with both line and rotational symmetries of order more than 1.
(ii) a triangle with only line symmetry and no rotational symmetry of order more than 1.
(iii) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.
(iv) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.
Answer:
(i) An equilateral triangle has three lines of symmetry and rotational symmetry of order 3.
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3 2
(ii) An isosceles triangle has only one line ofD symmetry but no rotational symmetry of order more than 1.
(iii) A parallelogram has no line of symmetry but I has a rotational symmetry of order 2. A
(iv) An isosceles trapezium has one line of symmetry but no rotational symmetry ofordermore than 1.
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3 3

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3

Question 3.
If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1.
Answer:
Yes

Question 4.
Fill in the blanks:
Answer:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3 4
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3 5

Question 5.
Name the quadrilaterals which have both line and rotational symmetry of order more than 1.
Answer:
The square, rectangle and a rhombus are the quadrilaterals having both line and rotational symmetry.

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3

Question 6.
After rotating by 60° about a centre, a figure looks exactly the same as its original position.
At what other angles will this happen for the figure.
Answer:
The figure will look exactly the same as its original position at 120°, 180°, 240°, 300° and 360°.
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3 6

Question 7.
Can we have a rotational symmetry of order more than 1 whose angle of rotation is (i) 45° (ii) 17°
Answer:
(i) 45° – yes
(ii) 17° – No
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3 7

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