# Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 8 - Reflection [Latest edition]

## Chapter 8: Reflection

Exercise 8.1
Exercise 8.1 [Page undefined]

### Frank solutions for ICSE Class 10 Mathematics Part 2 Chapter 8 Reflection Exercise 8.1 [Page undefined]

Exercise 8.1 | Q 1.1

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

(3 , -9)

Exercise 8.1 | Q 1.2

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

(-7, 5)

Exercise 8.1 | Q 1.3

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

(0, 6)

Exercise 8.1 | Q 1.4

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

(-4,-8)

Exercise 8.1 | Q 2.1

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

(2, 8)

Exercise 8.1 | Q 2.2

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

(-1,-3)

Exercise 8.1 | Q 2.3

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

(-5,-6)

Exercise 8.1 | Q 2.4

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

(-4, 7)

Exercise 8.1 | Q 3.1

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

(-1,-4)

Exercise 8.1 | Q 3.2

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

(2, 7)

Exercise 8.1 | Q 3.3

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

(0, 2)

Exercise 8.1 | Q 3.4

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

(9,-9)

Exercise 8.1 | Q 4

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.

Exercise 8.1 | Q 5

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'.

Exercise 8.1 | Q 6
A point P is reflected in the x-axis to P'. P' is then reflected in the origin to P". If the co-ordinates of P' are (-3, 4). Find the co-ordinates of P and P". Write the single transformation that map P onto P".
Exercise 8.1 | Q 7

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.

Exercise 8.1 | Q 8

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'.

Exercise 8.1 | Q 9

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'.

Exercise 8.1 | Q 10

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.

Exercise 8.1 | Q 11

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?

Exercise 8.1 | Q 12

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".

Exercise 8.1 | Q 13

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".

Exercise 8.1 | Q 14.1

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

Mx .My on P (2,-5)

Exercise 8.1 | Q 14.2

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

My.Mo on A (-7, 3)

Exercise 8.1 | Q 14.3

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

Mo.My on B (4, 6)

Exercise 8.1 | Q 14.4

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

Mx . Mo on P (-1,-3)

Exercise 8.1 | Q 15.1

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

y = 0

Exercise 8.1 | Q 15.2

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

y = 4

Exercise 8.1 | Q 16.1

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

x = 0

Exercise 8.1 | Q 16.2

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

y = 5

Exercise 8.1 | Q 17

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'

Exercise 8.1 | Q 18

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'.

Exercise 8.1 | Q 19

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'.

Exercise 8.1

## Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 8 - Reflection

Frank solutions for ICSE Class 10 Mathematics Part 2 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 ICSE 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 ICSE Class 10 Mathematics Part 2 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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