Page 194 - Maths Skills - 7

192 Maths

Answer the following questions on the basis of marked as Assertion (A) and Reason (R). Mark your
the above data. answer as per the codes provided below:
1. Which line of symmetry does the following (a) Both A and R are true and R is the correct
figures have? explanation of A.

(i) (ii) (b) Both A and R are true but R is not the correct
explanation of A.
(c) A is true but R is false.
(iii)
(d) A is false but R is true.

Q. 1. Assertion (A): A circle has two lines of symmetry.
2. Complete the figure to make it symmetrical Reason (R): A figure may or may not have lines
along the line of symmetry. of symmetry.
Q. 2. Assertion (A): A parallelogram has two lines of
symmetry.
Reason (R): The diagonals of a parallelogram
bisect each other.
Q. 3. Assertion (A): The relationship between two
symmetrical parts is the same as that between an
object and its mirror image.
3. Draw the mirror image with respect to the given Reason (R): A regular polygon has the number
mirror line. of lines of symmetry not equal to
its number of sides.

SUBJECTIVE TYPE QUESTIONS
? F. Solve the following word problems

1. Write the name of five objects that have rotational
symmetry from your surroundings.
4. What do you understand by a “line of 2. In the figure, taking C as the centre of rotation
symmetry”? rotate the figure through 90°, 180°
and 270° and see what happens.
E. Assertion-Reason Based Questions What happens if the figure is
Directions for Questions 1 to 3: In each of the rotated through 120° and 240°?
questions given below, there are two statements

INTEGRATED QUESTION

G. Architecture Vs Maths
Symmetry is extensively used in architecture and urban planning. This is an
aerial view of Gram Michele, located in Sicily, Italy. It was constructed in
1693 with a distinctive hexagonal street plan.
(a) Does this town have reflection symmetry? If yes, how many lines of
symmetry does it have? Mark those line of symmetry in the map.
(b) Is this town have rotational symmetry?
(c) Mark the centre of rotation of this town.
(d) What is the order of rotational symmetry of this town map?
(e) What is its angle of rotation?