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Chapters
2: Rational Numbers
3: Fractions (Including Problems)
4: Decimal Fractions (Decimals)
5: Exponents (Including Laws of Exponents)
6: Ratio and Proportion (Including Sharing in a Ratio)
7: Unitary Method (Including Time and Work)
8: Percent and Percentage
9: Profit, Loss and Discount
10: Simple Interest
11: Fundamental Concepts (Including Fundamental Operations)
12: Simple Linear Equations (Including Word Problems)
13: Set Concepts (Some Simple Divisions by Vedic Method)
14: Lines and Angles (Including Construction of angles)
15: Triangles
16: Pythagoras Theorem
▶ 17: Symmetry (Including Reflection and Rotation)
18: Recognition of Solids (Representing 3-D in 2-D)
19: Congruency: Congruent Triangles
20: Mensuration
21: Data Handling
22: Probability
![Selina solutions for Concise Mathematics [English] Class 7 ICSE chapter 17 - Symmetry (Including Reflection and Rotation) - Shaalaa.com](/images/concise-mathematics-english-class-7-icse_6:880cdcd6265b4864b6486afbf92875b0.jpg "Selina solutions for Concise Mathematics [English] Class 7 ICSE chapter 17 - Symmetry (Including Reflection and Rotation)")
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Solutions for Chapter 17: Symmetry (Including Reflection and Rotation)
Below listed, you can find solutions for Chapter 17 of CISCE Selina for Concise Mathematics [English] Class 7 ICSE.
Selina solutions for Concise Mathematics [English] Class 7 ICSE 17 Symmetry (Including Reflection and Rotation) Exercise 17 (A)
In the figure given below, draw the line (s) of symmetry, if possible:
In the figure given below, draw the line (s) of symmetry, if possible:
In the figure given below, draw the line (s) of symmetry, if possible:
In the figure given below, draw the line (s) of symmetry, if possible:
In the figure given below, draw the line (s) of symmetry, if possible:
In the figure given below, draw the line (s) of symmetry, if possible:
In the figure given below, draw the line (s) of symmetry, if possible:
In the figure given below, draw the line (s) of symmetry, if possible:
Write capital letters A to Z of English alphabet; and in each case, if possible, draw the largest number of lines of symmetry.
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
a scalene triangle
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
an isosceles right-angled triangle
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
a rhombus
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
a kite-shaped figure triangle
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
a rectangle
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
a square
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
an isosceles
Draw a triangle with no line of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Draw a triangle with only one line of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Draw a triangle with exactly two lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Draw a triangle with exactly three lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Draw a triangle with more than three lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Draw a quadrilateral with no line of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.
Draw a quadrilateral with only one line of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.
Draw a quadrilateral with exactly two lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.
Draw a quadrilateral with exactly three lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.
Draw a quadrilateral with exactly four lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.
Draw a quadrilateral with more than four lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.
Construct an equilateral triangle with each side 6 cm. In the triangle drawn, draw all the possible lines of symmetry.
Construct a triangle ABC in which AB = AC = 5 cm and BC = 5.6 cm. If possible, draw its lines of symmetry.
Construct a triangle PQR such that PQ = QR = 5 .5 cm and angle PQR = 90°. If possible, draw its lines of symmetry.
If possible, draw a rough sketch of a quadrilateral which has exactly two lines of symmetry.
A quadrilateral ABCD is symmetric about its diagonal AC. Name three sides of this quadrilateral which are equal.
Selina solutions for Concise Mathematics [English] Class 7 ICSE 17 Symmetry (Including Reflection and Rotation) Exercise 17 (B)
In the given figure, find the image of the point P in the line AB:
In the given figure, find the image of the point P in the line AB:
In the given figure, find the image of the line segment AB in the line PQ:
In the given figure, find the image of the line segment AB in the line PQ:
Complete the following table:
| Point | Reflection in | ||
| x-axis | y-axis | origin | |
| (i) (8, 2) | |||
| (ii) (5, 6) | |||
| (iii) (4, −5) | |||
| (iv) (6, −2) | |||
| (v) (−3, 7) | |||
| (vi) (−4, 5) | |||
| (vii) (−2, −7) | |||
| (viii) (−6, −3) | |||
| (ix) (4, 0) | |||
| (x) (−7, 0) | |||
| (xi) (0, −6) | |||
| (xii) (0, 7) | |||
| (xiii) (0, 0) | |||
A point P (7,3) is reflected in the x-axis to point P’. The point P’ is further reflected in v-axis to point P” Find :
(i) the coordinates of P’
(ii) the co-ordinates of P”
(iii) the image of P (7, 3) in origin.
A point A (- 5, 4) is reflected in y-axis to point B. The point B is further reflected in origin to point C. find :
(i) the co-ordinates of B
(ii) the co-ordinates of C
(iii) the image of A (- 5, 4) in x-axis.
The point P (3, – 8) is reflected in origin to point Q. The Point Q is further reflected in the x-axis to point R. Find :
(i) the co-ordinates of Q
(ii) the co-ordinates of R
(iii) the image of P (3, – 8) in the y-axis.
Each of the points A (3, 0), B (7, 0), C (- 8, 0), D (- 7, 0) and E (0, 0) is reflected in x-axis to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.
Each of the points A (0, 4), B (0, 10), C (0, – 4), D (0, – 6) and E (0, 0) is reflected in y-axis to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.
Each of the points A (0, 7), B (8, 0), C (0, − 5), D (− 7, 0) and E (0, 0) are reflected in origin to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.
Mark points A (4, 5) and B (− 5, 4) on a graph paper. Find A’, the image of A in x-axis and B’, the image of B in x-axis.
Mark A’ and B’ also on the same graph paper. Join AB and A’ B’ and find if AB = A’ B’?
Mark points A (6, 4) and B (4, – 6) on a graph paper.
Find A’, the image of A in y-axis and B’, the image of B in the y-axis. Mark A’ and B’ also on the same graph paper.
Mark points A (– 6, 5) and B (– 4, – 6) on a graph paper. Find A’, the image of A in origin and B’, the image of B in origin. Mark A’ and B’ also on the same graph paper. Join AB and A’ B’. Is AB = A’ B’?
Selina solutions for Concise Mathematics [English] Class 7 ICSE 17 Symmetry (Including Reflection and Rotation) Exercise 17 (C)
How many lines of symmetry does a rhombus have?
What is the order of rotational symmetry of a rhombus?
Show that the following figure has two lines of symmetry and a rotational.
Show that the following figure has two lines of symmetry and a rotational.
Show that the following figure has two lines of symmetry and a rotational.
Show that the following figure has two lines of symmetry and a rotational.
Name a figure that has a line of symmetry but does not have any rotational symmetry.
In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:
In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:
In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:
In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:
In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:
Solutions for 17: Symmetry (Including Reflection and Rotation)
Selina solutions for Concise Mathematics [English] Class 7 ICSE chapter 17 - Symmetry (Including Reflection and Rotation)
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Concepts covered in Concise Mathematics [English] Class 7 ICSE chapter 17 Symmetry (Including Reflection and Rotation) are Concept for Idea of Rotational Symmetry, Observations of Rotational Symmetry of 2-d Objects. (900, 1200, 1800), Concept of Symmetry, Concept of Reflection Symmetry.
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