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 ΔPQR, 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 with Answers
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?
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 with Answers
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
MCQs Questions for Class 6 Maths
 |
| Maths Worksheets for Other Chapters of Class 6 |
1. Knowing our numbers class 6 worksheets
2. Integers questions for class 6
3. HCF and LCM questions for class 6
4. Fraction questions for class 6
6. Exponents and powers extra questions
7. Algebraic expressions for class 6 worksheets
8. Linear equations in one variable questions for class 6
9. Ratio and proportion class 6 worksheet
10. Percentage questions for class 6
12. Simple interest questions for class 6
13. Basic geometrical ideas class 6 worksheet
14. Worksheet on angles for class 6
15. Parallel lines and transversal worksheet
17. Triangles worksheet for class 6
18. Construction questions for class 6
20. Perimeter and area class 6 worksheets
21. Data handling class 6 worksheets
Some Extra Worksheets for ICSE Maths Class 6
1. Sets maths class 6 worksheets
2. Adding, subtracting, multiplying and dividing polynomials worksheets
Maths Worksheets for Class 1 |