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E:\Working\Focus_Learning\Math_Genius-6\Open_Files\14_Unit_Test_4\Unit Test -4
\ 04-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

B. Fill in the blanks.

1. To construct a circle of radius 9 cm, the distance between the centre of the circle and any
point on the circle is .................... cm.
2. A .................... consists of a set of points on a plane that are all at a fixed distance from a
single point.
3. The letter H has a rotational symmetry of order .....................

4. In …………... tiling pattern, the equilateral triangle can be duplicated infinitely to fill a plane
without gaps.
5. The line that divides an object into two parts is called the .................... of symmetry.
C. State whether the following statements are True (T) or False (F).

1. A square has 2 lines of symmetry.
2. To draw a circle its radius is required.
3. A right angled triangle can have at most one line of symmetry.

4. A rectangle has a rotational symmetry of order 4.

5. Euclid is called the father of geometry.
D. Attempt the following questions.
1. Draw the reflection image of the following words:

(a) TOWEL (b) NATIONAL

2. Find the angle(s) of rotational symmetry of the following shapes:
(a) An equilateral triangle (b) Regular hexagon
3. Give any five English alphabets who have rotational symmetry of order 1.

4. Draw a rectangle of sides 8 cm and 6 cm. After drawing, check if it satisfies both the rectangle
properties or not.

5. Find the order of rotational symmetry for the following:
(a) Square (b) Rectangle (c) Rhombus (d) Hexagon

6. Can we have a figure with rotational symmetry whose smallest angle of symmetry is 19°?
7. Draw a rectangle whose one side is 6 cm and the diagonal is of length 10 cm.
8. Construct a square in a circle whose diameter is 18 cm.

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