ICSE Class 10 Maths Selina Solutions Chapter 12 Reflection

ICSE Class 10 Maths Selina Solutions Chapter 12: A quick overview of coordinate geometry and other key ideas, such as the origin, reflection of a point in several coordinate axes, and concerning a line, are provided in this chapter. Since Class 10 is a pivotal year in a student's life, they must have a firm grasp of the concepts taught in each chapter.

ICSE Class 10 Maths Selina Solutions Chapter 12 Reflection Overview

ICSE Class 10 Maths Selina Solutions Chapter 12 PDF

ICSE Class 10 Maths Selina Solutions Chapter 12 PDF

ICSE Class 10 Maths Selina Solutions Chapter 12 Exercise 12A

1. Complete the following table:

Solution:

2. A point P is its own image under the reflection in a line l. Describe the position of point the P with respect to the line l.

Solution:

3. State the co-ordinates of the following points under reflection in x-axis:

(i) (3, 2)

(ii) (-5, 4)

(iii) (0, 0)

Solution:

4. State the co-ordinates of the following points under reflection in y-axis:

(i) (6, -3)

(ii) (-1, 0)

(iii) (-8, -2)

Solution

5. State the co-ordinates of the following points under reflection in origin:

(i) (-2, -4)

(ii) (-2, 7)

(iii) (0, 0)

Solution:

6. State the co-ordinates of the following points under reflection in the line x = 0:

(i) (-6, 4)

(ii) (0, 5)

(iii) (3, -4)

Solution:

7. State the co-ordinates of the following points under reflection in the line y = 0:

(i) (-3, 0)

(ii) (8, -5)

(iii) (-1, -3)

Solution:

8. A point P is reflected in the x-axis. Co-ordinates of its image are (-4, 5).

(i) Find the co-ordinates of P.

(ii) Find the co-ordinates of the image of P under reflection in the y-axis.

Solution:

9. A point P is reflected in the origin. Co-ordinates of its image are (-2, 7).

(i) Find the co-ordinates of P.

(ii) Find the co-ordinates of the image of P under reflection in the x-axis.

Solution:

ICSE Class 10 Maths Selina Solutions Chapter 12 Exercise 12(B)

1. Attempt this question on graph paper.

(a) Plot A (3, 2) and B (5, 4) on graph paper. Take 2 cm = 1 unit on both the axes.

(b) Reflect A and B in the x-axis to A’ and B’ respectively. Plot these points also on the same graph paper.

(c) Write down:

(i) the geometrical name of the figure ABB’A’;

(ii) the measure of angle ABB’;

(iii) the image of A” of A, when A is reflected in the origin.

(iv) the single transformation that maps A’ to A”.

Solution:

2. Points (3, 0) and (-1, 0) are invariant points under reflection in the line L ₁ ; points (0, -3) and (0, 1) are invariant points on reflection in line L ₂ .

(i) Name or write equations for the lines L ₁ and L ₂ .

(ii) Write down the images of the points P (3, 4) and Q (-5, -2) on reflection in line L ₁ . Name the images as P’ and Q’ respectively.

(iii) Write down the images of P and Q on reflection in L ₂ . Name the images as P” and Q” respectively.

(iv) State or describe a single transformation that maps P’ onto P”.

Solution:

3. (i) Point P (a, b) is reflected in the x-axis to P’ (5, -2). Write down the values of a and b.

(ii) P” is the image of P when reflected in the y-axis. Write down the co-ordinates of P”.

(iii) Name a single transformation that maps P’ to P”.

Solution:

4. The point (-2, 0) on reflection in a line is mapped to (2, 0) and the point (5, -6) on reflection in the same line is mapped to (-5, -6).

(i) State the name of the mirror line and write its equation.

(ii) State the co-ordinates of the image of (-8, -5) in the mirror line.

Solution:

5. The points P (4, 1) and Q (-2, 4) are reflected in line y = 3. Find the co-ordinates of P’, the image of P and Q’, the image of Q.

Solution:

6. A point P (-2, 3) is reflected in line x = 2 to point P’. Find the coordinates of P’.

Solution:

7. A point P (a, b) is reflected in the x-axis to P’ (2, -3). Write down the values of a and b. P” is the image of P, reflected in the y-axis. Write down the co-ordinates of P”. Find the co-ordinates of P”’, when P is reflected in the line, parallel to y-axis, such that x = 4.

Solution:

8. Points A and B have co-ordinates (3, 4) and (0, 2) respectively. Find the image:

(a) A’ of A under reflection in the x-axis.

(b) B’ of B under reflection in the line AA’.

(c) A” of A under reflection in the y-axis.

(d) B” of B under reflection in the line AA”.

Solution:

Benefits of ICSE Class 10 Maths Selina Solutions Chapter 12

Detailed Solutions : Selina Solutions break down each problem into manageable steps, helping students understand the process of reflecting shapes over lines or points.

Visual Aids : Problems often include diagrams which make abstract concepts like symmetry and congruence more tangible.

Practice Problems : Access to a variety of problems with solutions helps students practice and reinforce their understanding of reflection.

Step-by-Step Guidance : Detailed solutions demonstrate methods and strategies to solve similar problems independently.

Reinforcement of Key Ideas : Repeated exposure to reflection problems and their solutions helps in better retention of concepts.

Error Correction : Reviewing solutions can help students identify and learn from mistakes, improving their problem-solving skills.

Quick Reference : Selina Solutions serve as a quick reference to verify answers and understand the correct approach.

Time Management : They save time by providing instant feedback on solutions and methods, which is especially helpful during revision.

Exam Pattern Familiarity : By practicing with Selina Solutions, students become familiar with the types of problems that may appear in exams.

Confidence Building : Mastery of reflection problems through practice boosts confidence and reduces exam anxiety.