**Symmetry Class 6**** ****Worksheet**

**Symmetry Class 6 Worksheets** play a vital role in strengthening the maths
concepts. After studying the concepts of mathematics, revision of **Symmetry Class 6 Worksheet** is very important for the students. This
assesses the preparation of the students. Students can assess themselves by its
own by solving the **Symmetry Class 6 Worksheet**. Parents and teachers can also assess
the students by giving them **Symmetry Class 6 Worksheet** to solve.

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solving these **Symmetry Class 6 Worksheet**, you can increase the understanding of the concepts
learnt. These **Symmetry Class 6 Worksheet** are prepared by experienced teachers and subject
matter experts. If you can solve the 90% of the questions correctly, it means
your preparation is very good.

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questions to solve and assess yourself. Parents and teachers can also give
these questions to the students to test them. Unit tests can also be prepared
by the teachers using these **Symmetry Class 6 Worksheet**.

**Symmetry
Class 6 Worksheet 1 with Answers**

**1. **Draw the following figures and draw lines of symmetry in each of
the following:

a. a line segment

b. an angle

c. a rectangle

d. an equilateral triangle

e. a hexagon

**2. **Choose the correct answer for each of the following:

a.
A geometrical figure which has two lines of symmetry is

i. Rectangle

ii. Square

iii. Circle

iv. Scalene triangle

b.
For any angle, the line of symmetry is

i. angle bisector

ii. side bisector

iii. any line between angle

iv. none of them

**3. **Match the following with the correct option:

**4. **The sides of a triangle are of length 4 cm, 5 cm and 4 cm
respectively. How many lines symmetry does this triangle have? Why?

**5. **Draw the line of symmetry for each of the
following:

**6. **For a Î”PQR, PQ = PR. The line PM is the line
of symmetry for the triangle. If ∠QPR measures 50°, what are the measures of ∠QPM,
∠PQR and ∠PRQ?
Give reasons in support of your answer.

**7.
**Draw a point symmetric to a given point A in a
line segment MN. Write the steps.

**8.
**Fill in the blanks for each of the following:

a.
A kite has ___________ lines of symmetry.

b.
The ___________ of a square is a line of symmetry

c.
A ___________ is a line of symmetry for a circle.

d.
An equilateral triangle has ___________ lines of symmetry.

**Symmetry
Class 6 Worksheet 2**

**1.
**State true or false:

a.
There are no letters in the English alphabet which has three lines of symmetry.

b.
Isosceles triangle has one line of symmetry.

c. A rectangle
has 4 lines of symmetry.

**2.
**Choose the correct answer:

a.
The figure that has infinite lines of symmetry is ___________.

i. a triangle

ii. a circle

iii. a rectangle

iv. a pentagon

b.
What is the number of lines of symmetry of a kite?

i. 1

ii. 2

iii. 3

iv. 4

c.
A parallelogram has ___________ lines of symmetry.

i. 1

ii. 2

iii. 0

iv. 3

**3. **Match each of the following with the
correction option:

**4. **For a circle with centre O, points P, Q and R lie on its
circumference. Out of the line segments OP and OR, which is not a line of
symmetry for the circle. Why? The line segment PR is the largest chord of the
circle. What can you say about it?

**5. **For a line segment PQ, the points R and S are such that RS meets
PQ in O and RS is perpendicular to PQ and RO = OS. RS is also the line of
symmetry of PQ. So, if PO = 7 cm, what is the length of OQ and PQ?

**6.**Calculate the total number of lines of symmetry in each letter of the word HOAX.

**7. **A semicircular piece of cloth is to be folded along its line of
symmetry. If the diameter of the piece is 50 cm, then how much will be distance
between the point of intersection of the diameter and the line of symmetry from
any one of the end points of the diameter?

**8. **Write the number of lines of symmetry for each of the following
figures and also draw their figures.

a. octagon

b. semicircle

c. square

d. isosceles triangle

**Symmetry
Class 6 Worksheet 3**

**1.
**Fill in the blanks for each of the following:

a. Each of the following letters has
___________ lines of symmetry. Letters are A, B, C, D.

b.
___________ is a letter of the English alphabet which has no line symmetry.

c.
A square has ___________ line of symmetry.

**2.
**Choose the correct answer for each of the
following:

a.
A line of symmetry divides the figure into

i. 2 equal parts

ii. 3 equal parts

iii. 4 equal parts

iv. none of these

b.
The number of lines of symmetry that a circle has is

i. 1

ii. 2

iii. 3

iv. indefinite

c.
The letter A has following number of lines of symmetry:

i. 1

ii. 3

iii. 2

iv. none

**3.
**Draw the figure in your notebooks and draw its
line of symmetry.

**4. **Draw a line segment PQ of length 5 cm. Construct a line such that
P, Q are symmetrical about it.

**5.
**Draw a letter of the English alphabet with
each of the following:

a.
one axis of symmetry

b.
two axes of symmetry

c.
no axis of symmetry

**6. **A rectangular field of length 30 m and breadth 20 m is divided in
four parts by drawing its lines of symmetry. What would be the areas of the
four parts so obtained?

**7. **Draw the line of symmetry for each of the
following.

**8.
**Construct an angle equal to 60°. Construct its
line of symmetry.

**9.
**Draw a semicircle of radius 3 cm. Construct
its line of symmetry.

**ANSWERS**

**Worksheet 1**

1. Do it yourself

2. a. i b. i

3. a. iii b. i c. ii

4. One; It is an isosceles triangle.

5. Do it yourself

6. ∠QPM
= 25°; ∠PQR = 65°; ∠PRQ = 65°

7. Do it yourself

8. a. one b. diagonal

c. diameter d. three

**Worksheet 2**

1. a. True b. True

c. False

2. a. ii b. i

c. iii

3. a. iii b. i

c. ii d. iv

4. OP and OR are radii

PR is a line of
symmetry.

5. 7 cm; 14 cm

6. H: two; O: infinite;

A: one; X: two

7. 25 cm

8. a. 8 b. 1

c. 4 d. 1

**Worksheet 3**

1. a. one b. F

c. 4

2. a. i b. iv

c. i

3. Do it yourself

4. Do it yourself

5. Do it yourself

6. Areas of 4 parts are equal.

7. Do it yourself

8. Do it yourself

9. Do it yourself

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