Symmetry Worksheet for Class 7

# Symmetry Worksheet for Class 7

## Symmetry Worksheet for Class 7

Symmetry Worksheets for Class 7 play a vital role in strengthening the maths concepts. After studying the concepts of mathematics, revision of Symmetry Worksheets for Class 7 is very important for the students. This assesses the preparation of the students. Students can assess themselves by its own by solving the Symmetry Worksheets for Class 7. Parents and teachers can also assess the students by giving them these Symmetry Worksheets for Class 7 to solve.

Maths-formula brings such worksheets on symmetry class 7 for you. By solving these Symmetry Worksheets for Class 7, you can increase the understanding of the concepts learnt. These Symmetry Worksheets for Class 7 are prepared by experienced teachers and subject matter experts.

## Symmetry Class 7 Worksheet 1

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

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

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

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 Î”A’B’C, then Î”ABC is congruent to Î”A’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

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

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