Symmetry Class 7 Worksheet 1 with Answers
1.
State whether the following statements are
true or false.
a.
An isosceles triangle has two lines of symmetry.
b.
The letters H and X have one line of symmetry.
c.
The image of an object about mirror line is formed by reflection.
d.
A regular octagon has eight lines of symmetry.
e. The order of
the rotational symmetry of a regular hexagon is four.
2. Write down the coordinates of each of the
following.
|
Point |
Transformation |
Image |
|
a (6, −8) |
Rotation through 180° about the origin |
|
|
(−3, 6) |
Reflected on X-axis followed by reflection through the origin |
|
3. Plot the following points on a graph paper and find the new position of each of the point under given rotation through origin.
a.
(7, –5), rotation of 90° anticlockwise
b.
(5, –6), rotation of 180° clockwise
4.
Under what rotation will we get the following
coordinates?
a.
(–3, 4) gives (–4, –3)
b.
(–5, –3) gives (–5, –3)
5.
Draw the figures and show their line/lines of
symmetry.
a. Rhombus
b. Parallelogram
c. Arrow head
6.
Draw the following diagrams.
a.
A quadrilateral with no line of symmetry
b.
A triangle with no line of symmetry
c.
A polygon with six lines of symmetry
7.
Choose the correct option.
a.
A rectangle has
i. 2 lines of symmetry
ii.
3 lines of symmetry
iii. 1 line of symmetry
iv. 4 lines of symmetry
b.
The line of symmetry of a circle is the
i. radius
ii. all chords
iii. circumference
iv. diameter
c.
The number of line of symmetry of a scalene triangle is
i. 1
ii. 2
iii. 3
iv.
none
d.
A circle has _______ lines symmetry.
i. 1
ii. 2
iii. 4
iv.
infinite
8. Mark a point P(4, 3) on a graph and reflect it in Y-axis followed
by reflection through the origin. Write down the coordinates.
Symmetry Class 7 Worksheet 2 with Answers
1.
State whether the following statements are
true or false.
a.
A parallelogram has two lines of symmetry.
b. If triangle ABC is reflected in the
X-axis and the image is ΔA’B’C, then ΔABC is congruent to ΔA’B’C.
c. The image of the point (–4, 3) when
reflected about origin is (–3, 4).
2.
Match the following:
a. Image of (–3, –2) on rotating
through 180° anticlockwise is i.
about the origin
b. Reflecting a point (x, y)
on X-axis followed by reflecting on
Y-axis gives the same image if
reflected ii.
(3, 2)
c. Image of point (–5, 4) on rotating
clockwise through 90° is iii.
1
d. The regular polygon which has six
lines of symmetry is iv.
(4, –5)
e.
The number of rotational symmetry of a semicircle is v. hexagon
3.
Fill in the blanks.
a.
A semicircle has ___________ lines of symmetry.
b.
The alphabet H has ___________ lines of symmetry.
c.
A kite has ___________ lines of symmetry.
d.
Image of (3, 5) is (–3, –5), hence it is reflected in the ___________.
e.
Rotation of (–5, 4) through 90° anticlockwise gives the image ___________.
4. Choose the correct answers from the following.
a.
The line symmetry of an angle is
i. bisector of the angle
ii. perpendicular drawn
from a point
iii. arms of the angle
iv. none of these
b.
The number of lines of symmetry of a square is
i. 3
ii. 4
iii. 2
iv. 1
c. On reflecting a point P on a mirror
line, the distance of the P and its image about the mirror line are
i. equal
ii. not equal
iii. 1/4 of distance
iv. none of these
d.
Regular polygon has as many lines of symmetry as it has
i. diagonals
ii. centre
iii. sides
iv. none of these
ANSWERS
Worksheet 1
1. a.
False b. False
c. True d. True
e. False
2. a. (−6, 8) b. (3, 6)
3. a. (5, 7) b. (−5,
6)
4. a. 90° anti-clockwise
b. 180° clockwise
5. Do it
yourself
6. Do it
yourself
7. a. i b. iv
c. iv d. iv
8. (−4, 3)
Worksheet
2
1. a.
False b. True
c. False
2. a. ii b. i
c. iv d. v
e. iii
3. a.
one b. two
c. one d. origin
e. (–4, –5)
4. a. i b. ii
c. i d. iii
MCQs Questions for Class 7 Maths
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1. Integers questions for class 7
2. HCF and LCM questions for class 7
3. Fraction questions for class 7
4. Decimals class 7 worksheets
5. Exponents and powers class 7 worksheet
6. Rational numbers class 7 worksheet
7. Algebraic expressions worksheet for class 7
8. Linear equations class 7 worksheet
9. Ratio and proportion class 7 worksheet
10. Percentage worksheet for class 7
11. Profit and loss class 7 worksheet
12. Simple interest worksheet for class 7
13. Lines and angles class 7 worksheets
14. Triangle and its properties class 7 worksheets
15. Congruence of triangles class 7 worksheets
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18. Perimeter and area class 7 worksheets
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