#### Chapters

Chapter 2: Sales Tax and Value Added Tax

Chapter 3: Banking

Chapter 4: Shares and Dividends

Chapter 5: Linear Inequations

Chapter 6: Quadratic Equations

Chapter 7: Problems Based On Quadratic Equations

Chapter 8: Reflection

Chapter 9: Ratio and Proportion

Chapter 10: Remainder And Factor Theorems

Chapter 11: Matrices

Chapter 12: Distance and Section Formulae

Chapter 13: Equation of A Straight Line

Chapter 14: Symmetry

Chapter 15: Similarity

Chapter 16: Loci

Chapter 17: Circles

Chapter 18: Constructions

Chapter 19: Mensuration I

Chapter 20: Mensuration II

Chapter 21: Trigonometric Identities

Chapter 22: Heights and Distances

Chapter 23: Graphical Representations

Chapter 24: Measures Of Central Tendency

Chapter 25: Probability

#### Frank Frank Class 10 Mathematics Part 2

## Chapter 8: Reflection

#### Chapter 8: Reflection Exercise Exercise 8.1 solutions [Page 0]

State the co-ordinates of the images of the following point under reflection in the x-axis :

(3 , -9)

State the co-ordinates of the images of the following point under reflection in the x-axis:

(-7, 5)

State the co-ordinates of the images of the following point under reflection in the x-axis:

(0, 6)

State the co-ordinates of the images of the following point under reflection in the x-axis:

(-4,-8)

State the co-ordinates of the images of the following point under reflection in the y-axis:

(2, 8)

State the co-ordinates of the images of the following point under reflection in the y-axis:

(-1,-3)

State the co-ordinates of the images of the following point under reflection in the y-axis:

(-5,-6)

State the co-ordinates of the images of the following point under reflection in the y-axis:

(-4, 7)

State the co-ordinates of the images of the following point under reflection in the origin:

(-1,-4)

State the co-ordinates of the images of the following point under reflection in the origin:

(2, 7)

State the co-ordinates of the images of the following point under reflection in the origin:

(0, 2)

State the co-ordinates of the images of the following point under reflection in the origin:

(9,-9)

P' is the image of P under reflection in the x-axis. If the co-ordinates of P' are (2, 10), write the co-ordinates of P.

S' is the image of S under reflection in the origin. If the co-ordinates of S are (2,-5), write the co-ordinates of S'.

A point P is reflected in the x-axis. Co-ordinates of its image are (8,-6). Find the co-ordinates of P. Find the co-ordinates of the image of P under reflection in the y-axis.

A point R (3,-2) is reflected in the origin as R'. Point Q (-7, 1) is reflected in the x-axis as Q'. Write down the co-ordinates of R' and Q'. Calculate the distance R' Q'.

The points B and C have the co-ordinates (3, 2) and (0, 3). Find B', the image of B under the reflection in the x-axis and C', the image of C under the reflection in the line BB'.

A point P is mapped onto P' under the reflection in the x-axis. P' is mapped onto P" under the reflection in the origin. If the co-ordinates of

P" are (5,-2), write down the co-ordinates of P. State the single transformation that takes place.

Write down the co-ordinates of the image of the point (-2, 4) under reflection in the origin and under reflection in the y-axis. What is the distance between the points of reflection?

A triangle ABC lies in the co-ordinate plane. The co-ordinates of its vertices are A (2, 3), B ( 4,-4) and C (6 ,-7). This triangle is reflected in the line y=O onto LA'B'C'. LA'B'C' is then reflected in the origin ontolA"B"C". Write down the co-ordinates of LA'B'C' and LA "B" C".

A point P (-8, 1) is reflected in the x-axis to the point P'. The point P' is then reflected in the origin to point P". Write down the co-ordinates of P". State the single transformation that maps P into P".

Perform the following operation and state the single transformation that take place :

M_{x} .M_{y} on P (2,-5)

Perform the following operation and state the single transformation that take place :

M_{y}.M_{o} on A (-7, 3)

Perform the following operation and state the single transformation that take place :

M_{o}.M_{y} on B (4, 6)

Perform the following operation and state the single transformation that take place :

M_{x }. M_{o} on P (-1,-3)

Find the co-ordinates of the image of A (-5, 4) after reflection in the line

y = 0

Find the co-ordinates of the image of A (-5, 4) after reflection in the line

y = 4

Find the co-ordinates of the image of S(4,-1) after reflection in the line

x = 0

Find the co-ordinates of the image of S(4,-1) after reflection in the line

y = 5

The points P (1,-1 ), Q ( 4,-1) and R ( 4, 3) are reflected in y-axis. If the images are denoted byP' , Q' , and R' , then

(i) Find the co-ordinates of P'Q'R' , Q' and R'

(ii) What kind of figure is formed by RR' Q' Q?

(iii) Find the perimeter of the figure P'Q'R'

Point A (1 , -5) is mapped as A' on rflection in the line y = 1. The point B (-5 , 1) is mapped as B' on reflection in the line y = 4. Write the co-ordinaes of A' and B' . Calculate AB'.

Point A ( 4,-1) is reflected as A' in the line x= 1. Point B on reflection in the line y=3 is mapped as B' (6,-1). Write the co-ordinates of A' and B. Write the co-ordinates of mid.-ooint of the line sgment A' B'.

## Chapter 8: Reflection

#### Frank Frank Class 10 Mathematics Part 2

#### Textbook solutions for Class 10

## Frank solutions for Class 10 Mathematics chapter 8 - Reflection

Frank solutions for Class 10 Maths chapter 8 (Reflection) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Frank Class 10 Mathematics Part 2 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 10 Mathematics chapter 8 Reflection are Reflection of a Point in a Line, Reflection of a Point in the Origin., Reflection Examples, Reflection Concept, Invariant Points..

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